Highest Common Factor of 6937, 9853 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 6937, 9853 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6937, 9853 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 6937, 9853 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 6937, 9853 is 1.

HCF(6937, 9853) = 1

HCF of 6937, 9853 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 6937, 9853 is 1.

Highest Common Factor of 6937,9853 using Euclid's algorithm

Highest Common Factor of 6937,9853 is 1

Step 1: Since 9853 > 6937, we apply the division lemma to 9853 and 6937, to get

9853 = 6937 x 1 + 2916

Step 2: Since the reminder 6937 ≠ 0, we apply division lemma to 2916 and 6937, to get

6937 = 2916 x 2 + 1105

Step 3: We consider the new divisor 2916 and the new remainder 1105, and apply the division lemma to get

2916 = 1105 x 2 + 706

We consider the new divisor 1105 and the new remainder 706,and apply the division lemma to get

1105 = 706 x 1 + 399

We consider the new divisor 706 and the new remainder 399,and apply the division lemma to get

706 = 399 x 1 + 307

We consider the new divisor 399 and the new remainder 307,and apply the division lemma to get

399 = 307 x 1 + 92

We consider the new divisor 307 and the new remainder 92,and apply the division lemma to get

307 = 92 x 3 + 31

We consider the new divisor 92 and the new remainder 31,and apply the division lemma to get

92 = 31 x 2 + 30

We consider the new divisor 31 and the new remainder 30,and apply the division lemma to get

31 = 30 x 1 + 1

We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get

30 = 1 x 30 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6937 and 9853 is 1

Notice that 1 = HCF(30,1) = HCF(31,30) = HCF(92,31) = HCF(307,92) = HCF(399,307) = HCF(706,399) = HCF(1105,706) = HCF(2916,1105) = HCF(6937,2916) = HCF(9853,6937) .

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Frequently Asked Questions on HCF of 6937, 9853 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 6937, 9853?

Answer: HCF of 6937, 9853 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6937, 9853 using Euclid's Algorithm?

Answer: For arbitrary numbers 6937, 9853 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.