Highest Common Factor of 100, 710 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 100, 710 i.e. 10 the largest integer that leaves a remainder zero for all numbers.

HCF of 100, 710 is 10 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 100, 710 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 100, 710 is 10.

HCF(100, 710) = 10

HCF of 100, 710 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 100, 710 is 10.

Highest Common Factor of 100,710 using Euclid's algorithm

Highest Common Factor of 100,710 is 10

Step 1: Since 710 > 100, we apply the division lemma to 710 and 100, to get

710 = 100 x 7 + 10

Step 2: Since the reminder 100 ≠ 0, we apply division lemma to 10 and 100, to get

100 = 10 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 100 and 710 is 10

Notice that 10 = HCF(100,10) = HCF(710,100) .

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Frequently Asked Questions on HCF of 100, 710 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 100, 710?

Answer: HCF of 100, 710 is 10 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 100, 710 using Euclid's Algorithm?

Answer: For arbitrary numbers 100, 710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.