Highest Common Factor of 375, 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 375, 875 i.e. 125 the largest integer that leaves a remainder zero for all numbers.

HCF of 375, 875 is 125 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 375, 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 375, 875 is 125.

HCF(375, 875) = 125

HCF of 375, 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 375, 875 is 125.

Highest Common Factor of 375,875 using Euclid's algorithm

Highest Common Factor of 375,875 is 125

Step 1: Since 875 > 375, we apply the division lemma to 875 and 375, to get

875 = 375 x 2 + 125

Step 2: Since the reminder 375 ≠ 0, we apply division lemma to 125 and 375, to get

375 = 125 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 125, the HCF of 375 and 875 is 125

Notice that 125 = HCF(375,125) = HCF(875,375) .

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Frequently Asked Questions on HCF of 375, 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 375, 875?

Answer: HCF of 375, 875 is 125 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 375, 875 using Euclid's Algorithm?

Answer: For arbitrary numbers 375, 875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.