Highest Common Factor of 9851, 4357 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 9851, 4357 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9851, 4357 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 9851, 4357 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 9851, 4357 is 1.

HCF(9851, 4357) = 1

HCF of 9851, 4357 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 9851, 4357 is 1.

Highest Common Factor of 9851,4357 using Euclid's algorithm

Highest Common Factor of 9851,4357 is 1

Step 1: Since 9851 > 4357, we apply the division lemma to 9851 and 4357, to get

9851 = 4357 x 2 + 1137

Step 2: Since the reminder 4357 ≠ 0, we apply division lemma to 1137 and 4357, to get

4357 = 1137 x 3 + 946

Step 3: We consider the new divisor 1137 and the new remainder 946, and apply the division lemma to get

1137 = 946 x 1 + 191

We consider the new divisor 946 and the new remainder 191,and apply the division lemma to get

946 = 191 x 4 + 182

We consider the new divisor 191 and the new remainder 182,and apply the division lemma to get

191 = 182 x 1 + 9

We consider the new divisor 182 and the new remainder 9,and apply the division lemma to get

182 = 9 x 20 + 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 9851 and 4357 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(182,9) = HCF(191,182) = HCF(946,191) = HCF(1137,946) = HCF(4357,1137) = HCF(9851,4357) .

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Frequently Asked Questions on HCF of 9851, 4357 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 9851, 4357?

Answer: HCF of 9851, 4357 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9851, 4357 using Euclid's Algorithm?

Answer: For arbitrary numbers 9851, 4357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.