Highest Common Factor of 900, 175 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 900, 175 i.e. 25 the largest integer that leaves a remainder zero for all numbers.

HCF of 900, 175 is 25 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 900, 175 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 900, 175 is 25.

HCF(900, 175) = 25

HCF of 900, 175 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 900, 175 is 25.

Highest Common Factor of 900,175 using Euclid's algorithm

Highest Common Factor of 900,175 is 25

Step 1: Since 900 > 175, we apply the division lemma to 900 and 175, to get

900 = 175 x 5 + 25

Step 2: Since the reminder 175 ≠ 0, we apply division lemma to 25 and 175, to get

175 = 25 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 900 and 175 is 25

Notice that 25 = HCF(175,25) = HCF(900,175) .

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Frequently Asked Questions on HCF of 900, 175 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 900, 175?

Answer: HCF of 900, 175 is 25 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 900, 175 using Euclid's Algorithm?

Answer: For arbitrary numbers 900, 175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.