Highest Common Factor of 537, 875 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 537, 875 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 537, 875 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 537, 875 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 537, 875 is 1.

HCF(537, 875) = 1

HCF of 537, 875 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 537, 875 is 1.

Highest Common Factor of 537,875 using Euclid's algorithm

Highest Common Factor of 537,875 is 1

Step 1: Since 875 > 537, we apply the division lemma to 875 and 537, to get

875 = 537 x 1 + 338

Step 2: Since the reminder 537 ≠ 0, we apply division lemma to 338 and 537, to get

537 = 338 x 1 + 199

Step 3: We consider the new divisor 338 and the new remainder 199, and apply the division lemma to get

338 = 199 x 1 + 139

We consider the new divisor 199 and the new remainder 139,and apply the division lemma to get

199 = 139 x 1 + 60

We consider the new divisor 139 and the new remainder 60,and apply the division lemma to get

139 = 60 x 2 + 19

We consider the new divisor 60 and the new remainder 19,and apply the division lemma to get

60 = 19 x 3 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 537 and 875 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(60,19) = HCF(139,60) = HCF(199,139) = HCF(338,199) = HCF(537,338) = HCF(875,537) .

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Frequently Asked Questions on HCF of 537, 875 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 537, 875?

Answer: HCF of 537, 875 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 537, 875 using Euclid's Algorithm?

Answer: For arbitrary numbers 537, 875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.