Highest Common Factor of 617, 725, 202 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 617, 725, 202 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 617, 725, 202 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 617, 725, 202 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 617, 725, 202 is 1.

HCF(617, 725, 202) = 1

HCF of 617, 725, 202 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 617, 725, 202 is 1.

Highest Common Factor of 617,725,202 using Euclid's algorithm

Highest Common Factor of 617,725,202 is 1

Step 1: Since 725 > 617, we apply the division lemma to 725 and 617, to get

725 = 617 x 1 + 108

Step 2: Since the reminder 617 ≠ 0, we apply division lemma to 108 and 617, to get

617 = 108 x 5 + 77

Step 3: We consider the new divisor 108 and the new remainder 77, and apply the division lemma to get

108 = 77 x 1 + 31

We consider the new divisor 77 and the new remainder 31,and apply the division lemma to get

77 = 31 x 2 + 15

We consider the new divisor 31 and the new remainder 15,and apply the division lemma to get

31 = 15 x 2 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 617 and 725 is 1

Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(77,31) = HCF(108,77) = HCF(617,108) = HCF(725,617) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 202 > 1, we apply the division lemma to 202 and 1, to get

202 = 1 x 202 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 202 is 1

Notice that 1 = HCF(202,1) .

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Frequently Asked Questions on HCF of 617, 725, 202 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 617, 725, 202?

Answer: HCF of 617, 725, 202 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 617, 725, 202 using Euclid's Algorithm?

Answer: For arbitrary numbers 617, 725, 202 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.