Highest Common Factor of 4937, 9307 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 4937, 9307 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4937, 9307 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 4937, 9307 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 4937, 9307 is 1.

HCF(4937, 9307) = 1

HCF of 4937, 9307 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 4937, 9307 is 1.

Highest Common Factor of 4937,9307 using Euclid's algorithm

Highest Common Factor of 4937,9307 is 1

Step 1: Since 9307 > 4937, we apply the division lemma to 9307 and 4937, to get

9307 = 4937 x 1 + 4370

Step 2: Since the reminder 4937 ≠ 0, we apply division lemma to 4370 and 4937, to get

4937 = 4370 x 1 + 567

Step 3: We consider the new divisor 4370 and the new remainder 567, and apply the division lemma to get

4370 = 567 x 7 + 401

We consider the new divisor 567 and the new remainder 401,and apply the division lemma to get

567 = 401 x 1 + 166

We consider the new divisor 401 and the new remainder 166,and apply the division lemma to get

401 = 166 x 2 + 69

We consider the new divisor 166 and the new remainder 69,and apply the division lemma to get

166 = 69 x 2 + 28

We consider the new divisor 69 and the new remainder 28,and apply the division lemma to get

69 = 28 x 2 + 13

We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get

28 = 13 x 2 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 4937 and 9307 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(69,28) = HCF(166,69) = HCF(401,166) = HCF(567,401) = HCF(4370,567) = HCF(4937,4370) = HCF(9307,4937) .

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Frequently Asked Questions on HCF of 4937, 9307 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 4937, 9307?

Answer: HCF of 4937, 9307 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4937, 9307 using Euclid's Algorithm?

Answer: For arbitrary numbers 4937, 9307 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.