Highest Common Factor of 7615, 5867 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 7615, 5867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7615, 5867 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 7615, 5867 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 7615, 5867 is 1.

HCF(7615, 5867) = 1

HCF of 7615, 5867 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 7615, 5867 is 1.

Highest Common Factor of 7615,5867 using Euclid's algorithm

Highest Common Factor of 7615,5867 is 1

Step 1: Since 7615 > 5867, we apply the division lemma to 7615 and 5867, to get

7615 = 5867 x 1 + 1748

Step 2: Since the reminder 5867 ≠ 0, we apply division lemma to 1748 and 5867, to get

5867 = 1748 x 3 + 623

Step 3: We consider the new divisor 1748 and the new remainder 623, and apply the division lemma to get

1748 = 623 x 2 + 502

We consider the new divisor 623 and the new remainder 502,and apply the division lemma to get

623 = 502 x 1 + 121

We consider the new divisor 502 and the new remainder 121,and apply the division lemma to get

502 = 121 x 4 + 18

We consider the new divisor 121 and the new remainder 18,and apply the division lemma to get

121 = 18 x 6 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 7615 and 5867 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(121,18) = HCF(502,121) = HCF(623,502) = HCF(1748,623) = HCF(5867,1748) = HCF(7615,5867) .

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Frequently Asked Questions on HCF of 7615, 5867 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 7615, 5867?

Answer: HCF of 7615, 5867 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7615, 5867 using Euclid's Algorithm?

Answer: For arbitrary numbers 7615, 5867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.