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HCF of 2923 and 3239

HCF of 2923 and 3239 is the largest possible number that divides 2923 and 3239 exactly without any remainder. The factors of 2923 and 3239 are 1, 37, 79, 2923 and 1, 41, 79, 3239 respectively. There are 3 commonly used methods to find the HCF of 2923 and 3239 - prime factorization, long division, and Euclidean algorithm.

1.	HCF of 2923 and 3239
2.	List of Methods
3.	Solved Examples
4.	FAQs

What is HCF of 2923 and 3239?

Answer: HCF of 2923 and 3239 is 79.

Explanation:

The HCF of two non-zero integers, x(2923) and y(3239), is the highest positive integer m(79) that divides both x(2923) and y(3239) without any remainder.

Methods to Find HCF of 2923 and 3239

Let's look at the different methods for finding the HCF of 2923 and 3239.

Prime Factorization Method
Long Division Method
Listing Common Factors

HCF of 2923 and 3239 by Prime Factorization

Prime factorization of 2923 and 3239 is (37 × 79) and (41 × 79) respectively. As visible, 2923 and 3239 have only one common prime factor i.e. 79. Hence, the HCF of 2923 and 3239 is 79.

HCF of 2923 and 3239 by Long Division

HCF of 2923 and 3239 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.

Step 1: Divide 3239 (larger number) by 2923 (smaller number).
Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (2923) by the remainder (316).
Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (79) is the HCF of 2923 and 3239.

HCF of 2923 and 3239 by Listing Common Factors

Factors of 2923: 1, 37, 79, 2923
Factors of 3239: 1, 41, 79, 3239

There are 2 common factors of 2923 and 3239, that are 1 and 79. Therefore, the highest common factor of 2923 and 3239 is 79.

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HCF of 2923 and 3239 Examples

Example 1: The product of two numbers is 9467597. If their HCF is 79, what is their LCM?

Solution:

Given: HCF = 79 and product of numbers = 9467597
∵ LCM × HCF = product of numbers
⇒ LCM = Product/HCF = 9467597/79
Therefore, the LCM is 119843.
Example 2: For two numbers, HCF = 79 and LCM = 119843. If one number is 3239, find the other number.

Solution:

Given: HCF (z, 3239) = 79 and LCM (z, 3239) = 119843
∵ HCF × LCM = 3239 × (z)
⇒ z = (HCF × LCM)/3239
⇒ z = (79 × 119843)/3239
⇒ z = 2923
Therefore, the other number is 2923.
Example 3: Find the highest number that divides 2923 and 3239 exactly.

Solution:

The highest number that divides 2923 and 3239 exactly is their highest common factor, i.e. HCF of 2923 and 3239.
⇒ Factors of 2923 and 3239:
- Factors of 2923 = 1, 37, 79, 2923
- Factors of 3239 = 1, 41, 79, 3239
Therefore, the HCF of 2923 and 3239 is 79.

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FAQs on HCF of 2923 and 3239

What is the HCF of 2923 and 3239?

The HCF of 2923 and 3239 is 79. To calculate the Highest common factor (HCF) of 2923 and 3239, we need to factor each number (factors of 2923 = 1, 37, 79, 2923; factors of 3239 = 1, 41, 79, 3239) and choose the highest factor that exactly divides both 2923 and 3239, i.e., 79.

What are the Methods to Find HCF of 2923 and 3239?

There are three commonly used methods to find the HCF of 2923 and 3239.

By Listing Common Factors
By Long Division
By Prime Factorization

What is the Relation Between LCM and HCF of 2923, 3239?

The following equation can be used to express the relation between LCM (Least Common Multiple) and HCF of 2923 and 3239, i.e. HCF × LCM = 2923 × 3239.

How to Find the HCF of 2923 and 3239 by Prime Factorization?

To find the HCF of 2923 and 3239, we will find the prime factorization of the given numbers, i.e. 2923 = 37 × 79; 3239 = 41 × 79.
⇒ Since 79 is the only common prime factor of 2923 and 3239. Hence, HCF (2923, 3239) = 79.
☛ What is a Prime Number?

How to Find the HCF of 2923 and 3239 by Long Division Method?

To find the HCF of 2923, 3239 using long division method, 3239 is divided by 2923. The corresponding divisor (79) when remainder equals 0 is taken as HCF.

If the HCF of 3239 and 2923 is 79, Find its LCM.

HCF(3239, 2923) × LCM(3239, 2923) = 3239 × 2923
Since the HCF of 3239 and 2923 = 79
⇒ 79 × LCM(3239, 2923) = 9467597
Therefore, LCM = 119843
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