Highest Common Factor of 8731, 7407 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 8731, 7407 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8731, 7407 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 8731, 7407 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 8731, 7407 is 1.

HCF(8731, 7407) = 1

HCF of 8731, 7407 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 8731, 7407 is 1.

Highest Common Factor of 8731,7407 using Euclid's algorithm

Highest Common Factor of 8731,7407 is 1

Step 1: Since 8731 > 7407, we apply the division lemma to 8731 and 7407, to get

8731 = 7407 x 1 + 1324

Step 2: Since the reminder 7407 ≠ 0, we apply division lemma to 1324 and 7407, to get

7407 = 1324 x 5 + 787

Step 3: We consider the new divisor 1324 and the new remainder 787, and apply the division lemma to get

1324 = 787 x 1 + 537

We consider the new divisor 787 and the new remainder 537,and apply the division lemma to get

787 = 537 x 1 + 250

We consider the new divisor 537 and the new remainder 250,and apply the division lemma to get

537 = 250 x 2 + 37

We consider the new divisor 250 and the new remainder 37,and apply the division lemma to get

250 = 37 x 6 + 28

We consider the new divisor 37 and the new remainder 28,and apply the division lemma to get

37 = 28 x 1 + 9

We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get

28 = 9 x 3 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8731 and 7407 is 1

Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(37,28) = HCF(250,37) = HCF(537,250) = HCF(787,537) = HCF(1324,787) = HCF(7407,1324) = HCF(8731,7407) .

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Frequently Asked Questions on HCF of 8731, 7407 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 8731, 7407?

Answer: HCF of 8731, 7407 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8731, 7407 using Euclid's Algorithm?

Answer: For arbitrary numbers 8731, 7407 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.