Highest Common Factor of 6587, 7793 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 6587, 7793 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6587, 7793 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 6587, 7793 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 6587, 7793 is 1.

HCF(6587, 7793) = 1

HCF of 6587, 7793 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 6587, 7793 is 1.

Highest Common Factor of 6587,7793 using Euclid's algorithm

Highest Common Factor of 6587,7793 is 1

Step 1: Since 7793 > 6587, we apply the division lemma to 7793 and 6587, to get

7793 = 6587 x 1 + 1206

Step 2: Since the reminder 6587 ≠ 0, we apply division lemma to 1206 and 6587, to get

6587 = 1206 x 5 + 557

Step 3: We consider the new divisor 1206 and the new remainder 557, and apply the division lemma to get

1206 = 557 x 2 + 92

We consider the new divisor 557 and the new remainder 92,and apply the division lemma to get

557 = 92 x 6 + 5

We consider the new divisor 92 and the new remainder 5,and apply the division lemma to get

92 = 5 x 18 + 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 6587 and 7793 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(92,5) = HCF(557,92) = HCF(1206,557) = HCF(6587,1206) = HCF(7793,6587) .

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Frequently Asked Questions on HCF of 6587, 7793 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 6587, 7793?

Answer: HCF of 6587, 7793 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6587, 7793 using Euclid's Algorithm?

Answer: For arbitrary numbers 6587, 7793 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.