Highest Common Factor of 652, 8737 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 652, 8737 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 652, 8737 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 652, 8737 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 652, 8737 is 1.

HCF(652, 8737) = 1

HCF of 652, 8737 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 652, 8737 is 1.

Highest Common Factor of 652,8737 using Euclid's algorithm

Highest Common Factor of 652,8737 is 1

Step 1: Since 8737 > 652, we apply the division lemma to 8737 and 652, to get

8737 = 652 x 13 + 261

Step 2: Since the reminder 652 ≠ 0, we apply division lemma to 261 and 652, to get

652 = 261 x 2 + 130

Step 3: We consider the new divisor 261 and the new remainder 130, and apply the division lemma to get

261 = 130 x 2 + 1

We consider the new divisor 130 and the new remainder 1, and apply the division lemma to get

130 = 1 x 130 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 652 and 8737 is 1

Notice that 1 = HCF(130,1) = HCF(261,130) = HCF(652,261) = HCF(8737,652) .

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Frequently Asked Questions on HCF of 652, 8737 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 652, 8737?

Answer: HCF of 652, 8737 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 652, 8737 using Euclid's Algorithm?

Answer: For arbitrary numbers 652, 8737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.