Highest Common Factor of 7927, 6515 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 7927, 6515 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7927, 6515 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 7927, 6515 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 7927, 6515 is 1.

HCF(7927, 6515) = 1

HCF of 7927, 6515 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 7927, 6515 is 1.

Highest Common Factor of 7927,6515 using Euclid's algorithm

Highest Common Factor of 7927,6515 is 1

Step 1: Since 7927 > 6515, we apply the division lemma to 7927 and 6515, to get

7927 = 6515 x 1 + 1412

Step 2: Since the reminder 6515 ≠ 0, we apply division lemma to 1412 and 6515, to get

6515 = 1412 x 4 + 867

Step 3: We consider the new divisor 1412 and the new remainder 867, and apply the division lemma to get

1412 = 867 x 1 + 545

We consider the new divisor 867 and the new remainder 545,and apply the division lemma to get

867 = 545 x 1 + 322

We consider the new divisor 545 and the new remainder 322,and apply the division lemma to get

545 = 322 x 1 + 223

We consider the new divisor 322 and the new remainder 223,and apply the division lemma to get

322 = 223 x 1 + 99

We consider the new divisor 223 and the new remainder 99,and apply the division lemma to get

223 = 99 x 2 + 25

We consider the new divisor 99 and the new remainder 25,and apply the division lemma to get

99 = 25 x 3 + 24

We consider the new divisor 25 and the new remainder 24,and apply the division lemma to get

25 = 24 x 1 + 1

We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get

24 = 1 x 24 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7927 and 6515 is 1

Notice that 1 = HCF(24,1) = HCF(25,24) = HCF(99,25) = HCF(223,99) = HCF(322,223) = HCF(545,322) = HCF(867,545) = HCF(1412,867) = HCF(6515,1412) = HCF(7927,6515) .

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Frequently Asked Questions on HCF of 7927, 6515 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 7927, 6515?

Answer: HCF of 7927, 6515 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7927, 6515 using Euclid's Algorithm?

Answer: For arbitrary numbers 7927, 6515 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.