Highest Common Factor of 6962, 8891 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 6962, 8891 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6962, 8891 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 6962, 8891 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 6962, 8891 is 1.

HCF(6962, 8891) = 1

HCF of 6962, 8891 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 6962, 8891 is 1.

Highest Common Factor of 6962,8891 using Euclid's algorithm

Highest Common Factor of 6962,8891 is 1

Step 1: Since 8891 > 6962, we apply the division lemma to 8891 and 6962, to get

8891 = 6962 x 1 + 1929

Step 2: Since the reminder 6962 ≠ 0, we apply division lemma to 1929 and 6962, to get

6962 = 1929 x 3 + 1175

Step 3: We consider the new divisor 1929 and the new remainder 1175, and apply the division lemma to get

1929 = 1175 x 1 + 754

We consider the new divisor 1175 and the new remainder 754,and apply the division lemma to get

1175 = 754 x 1 + 421

We consider the new divisor 754 and the new remainder 421,and apply the division lemma to get

754 = 421 x 1 + 333

We consider the new divisor 421 and the new remainder 333,and apply the division lemma to get

421 = 333 x 1 + 88

We consider the new divisor 333 and the new remainder 88,and apply the division lemma to get

333 = 88 x 3 + 69

We consider the new divisor 88 and the new remainder 69,and apply the division lemma to get

88 = 69 x 1 + 19

We consider the new divisor 69 and the new remainder 19,and apply the division lemma to get

69 = 19 x 3 + 12

We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get

19 = 12 x 1 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 6962 and 8891 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(69,19) = HCF(88,69) = HCF(333,88) = HCF(421,333) = HCF(754,421) = HCF(1175,754) = HCF(1929,1175) = HCF(6962,1929) = HCF(8891,6962) .

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Frequently Asked Questions on HCF of 6962, 8891 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 6962, 8891?

Answer: HCF of 6962, 8891 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6962, 8891 using Euclid's Algorithm?

Answer: For arbitrary numbers 6962, 8891 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.