Highest Common Factor of 6944, 9636 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 6944, 9636 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 6944, 9636 is 4 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 6944, 9636 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 6944, 9636 is 4.

HCF(6944, 9636) = 4

HCF of 6944, 9636 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 6944, 9636 is 4.

Highest Common Factor of 6944,9636 using Euclid's algorithm

Highest Common Factor of 6944,9636 is 4

Step 1: Since 9636 > 6944, we apply the division lemma to 9636 and 6944, to get

9636 = 6944 x 1 + 2692

Step 2: Since the reminder 6944 ≠ 0, we apply division lemma to 2692 and 6944, to get

6944 = 2692 x 2 + 1560

Step 3: We consider the new divisor 2692 and the new remainder 1560, and apply the division lemma to get

2692 = 1560 x 1 + 1132

We consider the new divisor 1560 and the new remainder 1132,and apply the division lemma to get

1560 = 1132 x 1 + 428

We consider the new divisor 1132 and the new remainder 428,and apply the division lemma to get

1132 = 428 x 2 + 276

We consider the new divisor 428 and the new remainder 276,and apply the division lemma to get

428 = 276 x 1 + 152

We consider the new divisor 276 and the new remainder 152,and apply the division lemma to get

276 = 152 x 1 + 124

We consider the new divisor 152 and the new remainder 124,and apply the division lemma to get

152 = 124 x 1 + 28

We consider the new divisor 124 and the new remainder 28,and apply the division lemma to get

124 = 28 x 4 + 12

We consider the new divisor 28 and the new remainder 12,and apply the division lemma to get

28 = 12 x 2 + 4

We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get

12 = 4 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6944 and 9636 is 4

Notice that 4 = HCF(12,4) = HCF(28,12) = HCF(124,28) = HCF(152,124) = HCF(276,152) = HCF(428,276) = HCF(1132,428) = HCF(1560,1132) = HCF(2692,1560) = HCF(6944,2692) = HCF(9636,6944) .

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Frequently Asked Questions on HCF of 6944, 9636 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 6944, 9636?

Answer: HCF of 6944, 9636 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6944, 9636 using Euclid's Algorithm?

Answer: For arbitrary numbers 6944, 9636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.