Highest Common Factor of 6992, 8727 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 6992, 8727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6992, 8727 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 6992, 8727 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 6992, 8727 is 1.

HCF(6992, 8727) = 1

HCF of 6992, 8727 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 6992, 8727 is 1.

Highest Common Factor of 6992,8727 using Euclid's algorithm

Highest Common Factor of 6992,8727 is 1

Step 1: Since 8727 > 6992, we apply the division lemma to 8727 and 6992, to get

8727 = 6992 x 1 + 1735

Step 2: Since the reminder 6992 ≠ 0, we apply division lemma to 1735 and 6992, to get

6992 = 1735 x 4 + 52

Step 3: We consider the new divisor 1735 and the new remainder 52, and apply the division lemma to get

1735 = 52 x 33 + 19

We consider the new divisor 52 and the new remainder 19,and apply the division lemma to get

52 = 19 x 2 + 14

We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get

19 = 14 x 1 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 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 6992 and 8727 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(52,19) = HCF(1735,52) = HCF(6992,1735) = HCF(8727,6992) .

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Frequently Asked Questions on HCF of 6992, 8727 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 6992, 8727?

Answer: HCF of 6992, 8727 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6992, 8727 using Euclid's Algorithm?

Answer: For arbitrary numbers 6992, 8727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.