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HCF of 95 and 152

HCF of 95 and 152 is the largest possible number that divides 95 and 152 exactly without any remainder. The factors of 95 and 152 are 1, 5, 19, 95 and 1, 2, 4, 8, 19, 38, 76, 152 respectively. There are 3 commonly used methods to find the HCF of 95 and 152 - prime factorization, long division, and Euclidean algorithm.

1.	HCF of 95 and 152
2.	List of Methods
3.	Solved Examples
4.	FAQs

What is HCF of 95 and 152?

Answer: HCF of 95 and 152 is 19.

Explanation:

The HCF of two non-zero integers, x(95) and y(152), is the highest positive integer m(19) that divides both x(95) and y(152) without any remainder.

Methods to Find HCF of 95 and 152

Let's look at the different methods for finding the HCF of 95 and 152.

Prime Factorization Method
Listing Common Factors
Long Division Method

HCF of 95 and 152 by Prime Factorization

Prime factorization of 95 and 152 is (5 × 19) and (2 × 2 × 2 × 19) respectively. As visible, 95 and 152 have only one common prime factor i.e. 19. Hence, the HCF of 95 and 152 is 19.

HCF of 95 and 152 by Listing Common Factors

Factors of 95: 1, 5, 19, 95
Factors of 152: 1, 2, 4, 8, 19, 38, 76, 152

There are 2 common factors of 95 and 152, that are 1 and 19. Therefore, the highest common factor of 95 and 152 is 19.

HCF of 95 and 152 by Long Division

HCF of 95 and 152 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.

Step 1: Divide 152 (larger number) by 95 (smaller number).
Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (95) by the remainder (57).
Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (19) is the HCF of 95 and 152.

☛ Also Check:

HCF of 95 and 152 Examples

Example 1: The product of two numbers is 14440. If their HCF is 19, what is their LCM?

Solution:

Given: HCF = 19 and product of numbers = 14440
∵ LCM × HCF = product of numbers
⇒ LCM = Product/HCF = 14440/19
Therefore, the LCM is 760.
Example 2: For two numbers, HCF = 19 and LCM = 760. If one number is 95, find the other number.

Solution:

Given: HCF (y, 95) = 19 and LCM (y, 95) = 760
∵ HCF × LCM = 95 × (y)
⇒ y = (HCF × LCM)/95
⇒ y = (19 × 760)/95
⇒ y = 152
Therefore, the other number is 152.
Example 3: Find the highest number that divides 95 and 152 exactly.

Solution:

The highest number that divides 95 and 152 exactly is their highest common factor, i.e. HCF of 95 and 152.
⇒ Factors of 95 and 152:
- Factors of 95 = 1, 5, 19, 95
- Factors of 152 = 1, 2, 4, 8, 19, 38, 76, 152
Therefore, the HCF of 95 and 152 is 19.

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FAQs on HCF of 95 and 152

What is the HCF of 95 and 152?

The HCF of 95 and 152 is 19. To calculate the Highest common factor of 95 and 152, we need to factor each number (factors of 95 = 1, 5, 19, 95; factors of 152 = 1, 2, 4, 8, 19, 38, 76, 152) and choose the highest factor that exactly divides both 95 and 152, i.e., 19.

How to Find the HCF of 95 and 152 by Long Division Method?

To find the HCF of 95, 152 using long division method, 152 is divided by 95. The corresponding divisor (19) when remainder equals 0 is taken as HCF.

How to Find the HCF of 95 and 152 by Prime Factorization?

To find the HCF of 95 and 152, we will find the prime factorization of the given numbers, i.e. 95 = 5 × 19; 152 = 2 × 2 × 2 × 19.
⇒ Since 19 is the only common prime factor of 95 and 152. Hence, HCF (95, 152) = 19.
☛ What are Prime Numbers?

If the HCF of 152 and 95 is 19, Find its LCM.

HCF(152, 95) × LCM(152, 95) = 152 × 95
Since the HCF of 152 and 95 = 19
⇒ 19 × LCM(152, 95) = 14440
Therefore, LCM = 760
☛ HCF Calculator

What is the Relation Between LCM and HCF of 95, 152?

The following equation can be used to express the relation between LCM and HCF of 95 and 152, i.e. HCF × LCM = 95 × 152.

What are the Methods to Find HCF of 95 and 152?

There are three commonly used methods to find the HCF of 95 and 152.

By Long Division
By Prime Factorization
By Euclidean Algorithm

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