Highest Common Factor of 8472, 4921 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 8472, 4921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8472, 4921 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 8472, 4921 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 8472, 4921 is 1.

HCF(8472, 4921) = 1

HCF of 8472, 4921 using Euclid's algorithm

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

HCF of:

Highest common factor (HCF) of 8472, 4921 is 1.

Highest Common Factor of 8472,4921 using Euclid's algorithm

Highest Common Factor of 8472,4921 is 1

Step 1: Since 8472 > 4921, we apply the division lemma to 8472 and 4921, to get

8472 = 4921 x 1 + 3551

Step 2: Since the reminder 4921 ≠ 0, we apply division lemma to 3551 and 4921, to get

4921 = 3551 x 1 + 1370

Step 3: We consider the new divisor 3551 and the new remainder 1370, and apply the division lemma to get

3551 = 1370 x 2 + 811

We consider the new divisor 1370 and the new remainder 811,and apply the division lemma to get

1370 = 811 x 1 + 559

We consider the new divisor 811 and the new remainder 559,and apply the division lemma to get

811 = 559 x 1 + 252

We consider the new divisor 559 and the new remainder 252,and apply the division lemma to get

559 = 252 x 2 + 55

We consider the new divisor 252 and the new remainder 55,and apply the division lemma to get

252 = 55 x 4 + 32

We consider the new divisor 55 and the new remainder 32,and apply the division lemma to get

55 = 32 x 1 + 23

We consider the new divisor 32 and the new remainder 23,and apply the division lemma to get

32 = 23 x 1 + 9

We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get

23 = 9 x 2 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8472 and 4921 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(32,23) = HCF(55,32) = HCF(252,55) = HCF(559,252) = HCF(811,559) = HCF(1370,811) = HCF(3551,1370) = HCF(4921,3551) = HCF(8472,4921) .

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Frequently Asked Questions on HCF of 8472, 4921 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 8472, 4921?

Answer: HCF of 8472, 4921 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8472, 4921 using Euclid's Algorithm?

Answer: For arbitrary numbers 8472, 4921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.