Highest Common Factor of 9947, 2624 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 9947, 2624 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9947, 2624 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 9947, 2624 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 9947, 2624 is 1.

HCF(9947, 2624) = 1

HCF of 9947, 2624 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 9947, 2624 is 1.

Highest Common Factor of 9947,2624 using Euclid's algorithm

Highest Common Factor of 9947,2624 is 1

Step 1: Since 9947 > 2624, we apply the division lemma to 9947 and 2624, to get

9947 = 2624 x 3 + 2075

Step 2: Since the reminder 2624 ≠ 0, we apply division lemma to 2075 and 2624, to get

2624 = 2075 x 1 + 549

Step 3: We consider the new divisor 2075 and the new remainder 549, and apply the division lemma to get

2075 = 549 x 3 + 428

We consider the new divisor 549 and the new remainder 428,and apply the division lemma to get

549 = 428 x 1 + 121

We consider the new divisor 428 and the new remainder 121,and apply the division lemma to get

428 = 121 x 3 + 65

We consider the new divisor 121 and the new remainder 65,and apply the division lemma to get

121 = 65 x 1 + 56

We consider the new divisor 65 and the new remainder 56,and apply the division lemma to get

65 = 56 x 1 + 9

We consider the new divisor 56 and the new remainder 9,and apply the division lemma to get

56 = 9 x 6 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9947 and 2624 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(56,9) = HCF(65,56) = HCF(121,65) = HCF(428,121) = HCF(549,428) = HCF(2075,549) = HCF(2624,2075) = HCF(9947,2624) .

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Frequently Asked Questions on HCF of 9947, 2624 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 9947, 2624?

Answer: HCF of 9947, 2624 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9947, 2624 using Euclid's Algorithm?

Answer: For arbitrary numbers 9947, 2624 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.