HCF of 4052 and 12576
HCF of 4052 and 12576 is the largest possible number that divides 4052 and 12576 exactly without any remainder. The factors of 4052 and 12576 are 1, 2, 4, 1013, 2026, 4052 and 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 4192, 6288, 12576 respectively. There are 3 commonly used methods to find the HCF of 4052 and 12576 - Euclidean algorithm, long division, and prime factorization.
| 1. | HCF of 4052 and 12576 |
| 2. | List of Methods |
| 3. | Solved Examples |
| 4. | FAQs |
What is HCF of 4052 and 12576?
Answer: HCF of 4052 and 12576 is 4.
Explanation:
The HCF of two non-zero integers, x(4052) and y(12576), is the highest positive integer m(4) that divides both x(4052) and y(12576) without any remainder.
Methods to Find HCF of 4052 and 12576
Let's look at the different methods for finding the HCF of 4052 and 12576.
- Long Division Method
- Prime Factorization Method
- Listing Common Factors
HCF of 4052 and 12576 by Long Division
HCF of 4052 and 12576 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
- Step 1: Divide 12576 (larger number) by 4052 (smaller number).
- Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (4052) by the remainder (420).
- Step 3: Repeat this process until the remainder = 0.
The corresponding divisor (4) is the HCF of 4052 and 12576.
HCF of 4052 and 12576 by Prime Factorization
Prime factorization of 4052 and 12576 is (2 × 2 × 1013) and (2 × 2 × 2 × 2 × 2 × 3 × 131) respectively. As visible, 4052 and 12576 have common prime factors. Hence, the HCF of 4052 and 12576 is 2 × 2 = 4.
HCF of 4052 and 12576 by Listing Common Factors
- Factors of 4052: 1, 2, 4, 1013, 2026, 4052
- Factors of 12576: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 4192, 6288, 12576
There are 3 common factors of 4052 and 12576, that are 1, 2, and 4. Therefore, the highest common factor of 4052 and 12576 is 4.
☛ Also Check:
- HCF of 18 and 60 = 6
- HCF of 150 and 225 = 75
- HCF of 90 and 120 = 30
- HCF of 324 and 144 = 36
- HCF of 32 and 56 = 8
- HCF of 27 and 36 = 9
- HCF of 145 and 232 = 29
FAQs on HCF of 4052 and 12576
What is the HCF of 4052 and 12576?
The HCF of 4052 and 12576 is 4. To calculate the Highest common factor of 4052 and 12576, we need to factor each number (factors of 4052 = 1, 2, 4, 1013, 2026, 4052; factors of 12576 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 4192, 6288, 12576) and choose the highest factor that exactly divides both 4052 and 12576, i.e., 4.
How to Find the HCF of 4052 and 12576 by Prime Factorization?
To find the HCF of 4052 and 12576, we will find the prime factorization of the given numbers, i.e. 4052 = 2 × 2 × 1013; 12576 = 2 × 2 × 2 × 2 × 2 × 3 × 131.
⇒ Since 2, 2 are common terms in the prime factorization of 4052 and 12576. Hence, HCF(4052, 12576) = 2 × 2 = 4
☛ Prime Numbers
What are the Methods to Find HCF of 4052 and 12576?
There are three commonly used methods to find the HCF of 4052 and 12576.
- By Prime Factorization
- By Listing Common Factors
- By Long Division
What is the Relation Between LCM and HCF of 4052, 12576?
The following equation can be used to express the relation between LCM (Least Common Multiple) and HCF of 4052 and 12576, i.e. HCF × LCM = 4052 × 12576.
If the HCF of 12576 and 4052 is 4, Find its LCM.
HCF(12576, 4052) × LCM(12576, 4052) = 12576 × 4052
Since the HCF of 12576 and 4052 = 4
⇒ 4 × LCM(12576, 4052) = 50957952
Therefore, LCM = 12739488
☛ Highest Common Factor Calculator
How to Find the HCF of 4052 and 12576 by Long Division Method?
To find the HCF of 4052, 12576 using long division method, 12576 is divided by 4052. The corresponding divisor (4) when remainder equals 0 is taken as HCF.