Highest Common Factor of 5572, 4721 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 5572, 4721 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5572, 4721 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 5572, 4721 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 5572, 4721 is 1.

HCF(5572, 4721) = 1

HCF of 5572, 4721 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 5572, 4721 is 1.

Highest Common Factor of 5572,4721 using Euclid's algorithm

Highest Common Factor of 5572,4721 is 1

Step 1: Since 5572 > 4721, we apply the division lemma to 5572 and 4721, to get

5572 = 4721 x 1 + 851

Step 2: Since the reminder 4721 ≠ 0, we apply division lemma to 851 and 4721, to get

4721 = 851 x 5 + 466

Step 3: We consider the new divisor 851 and the new remainder 466, and apply the division lemma to get

851 = 466 x 1 + 385

We consider the new divisor 466 and the new remainder 385,and apply the division lemma to get

466 = 385 x 1 + 81

We consider the new divisor 385 and the new remainder 81,and apply the division lemma to get

385 = 81 x 4 + 61

We consider the new divisor 81 and the new remainder 61,and apply the division lemma to get

81 = 61 x 1 + 20

We consider the new divisor 61 and the new remainder 20,and apply the division lemma to get

61 = 20 x 3 + 1

We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5572 and 4721 is 1

Notice that 1 = HCF(20,1) = HCF(61,20) = HCF(81,61) = HCF(385,81) = HCF(466,385) = HCF(851,466) = HCF(4721,851) = HCF(5572,4721) .

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Frequently Asked Questions on HCF of 5572, 4721 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 5572, 4721?

Answer: HCF of 5572, 4721 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5572, 4721 using Euclid's Algorithm?

Answer: For arbitrary numbers 5572, 4721 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.