Highest Common Factor of 9429, 6512 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 9429, 6512 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9429, 6512 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 9429, 6512 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 9429, 6512 is 1.

HCF(9429, 6512) = 1

HCF of 9429, 6512 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 9429, 6512 is 1.

Highest Common Factor of 9429,6512 using Euclid's algorithm

Highest Common Factor of 9429,6512 is 1

Step 1: Since 9429 > 6512, we apply the division lemma to 9429 and 6512, to get

9429 = 6512 x 1 + 2917

Step 2: Since the reminder 6512 ≠ 0, we apply division lemma to 2917 and 6512, to get

6512 = 2917 x 2 + 678

Step 3: We consider the new divisor 2917 and the new remainder 678, and apply the division lemma to get

2917 = 678 x 4 + 205

We consider the new divisor 678 and the new remainder 205,and apply the division lemma to get

678 = 205 x 3 + 63

We consider the new divisor 205 and the new remainder 63,and apply the division lemma to get

205 = 63 x 3 + 16

We consider the new divisor 63 and the new remainder 16,and apply the division lemma to get

63 = 16 x 3 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9429 and 6512 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(63,16) = HCF(205,63) = HCF(678,205) = HCF(2917,678) = HCF(6512,2917) = HCF(9429,6512) .

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Frequently Asked Questions on HCF of 9429, 6512 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 9429, 6512?

Answer: HCF of 9429, 6512 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9429, 6512 using Euclid's Algorithm?

Answer: For arbitrary numbers 9429, 6512 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.