Highest Common Factor of 6587, 1810 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, 1810 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6587, 1810 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, 1810 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, 1810 is 1.

HCF(6587, 1810) = 1

HCF of 6587, 1810 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 6587, 1810 is 1.

Highest Common Factor of 6587,1810 using Euclid's algorithm

Highest Common Factor of 6587,1810 is 1

Step 1: Since 6587 > 1810, we apply the division lemma to 6587 and 1810, to get

6587 = 1810 x 3 + 1157

Step 2: Since the reminder 1810 ≠ 0, we apply division lemma to 1157 and 1810, to get

1810 = 1157 x 1 + 653

Step 3: We consider the new divisor 1157 and the new remainder 653, and apply the division lemma to get

1157 = 653 x 1 + 504

We consider the new divisor 653 and the new remainder 504,and apply the division lemma to get

653 = 504 x 1 + 149

We consider the new divisor 504 and the new remainder 149,and apply the division lemma to get

504 = 149 x 3 + 57

We consider the new divisor 149 and the new remainder 57,and apply the division lemma to get

149 = 57 x 2 + 35

We consider the new divisor 57 and the new remainder 35,and apply the division lemma to get

57 = 35 x 1 + 22

We consider the new divisor 35 and the new remainder 22,and apply the division lemma to get

35 = 22 x 1 + 13

We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get

22 = 13 x 1 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 6587 and 1810 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(35,22) = HCF(57,35) = HCF(149,57) = HCF(504,149) = HCF(653,504) = HCF(1157,653) = HCF(1810,1157) = HCF(6587,1810) .

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Frequently Asked Questions on HCF of 6587, 1810 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, 1810?

Answer: HCF of 6587, 1810 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6587, 1810 using Euclid's Algorithm?

Answer: For arbitrary numbers 6587, 1810 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.