Highest Common Factor of 795, 106 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 795, 106 i.e. 53 the largest integer that leaves a remainder zero for all numbers.

HCF of 795, 106 is 53 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 795, 106 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 795, 106 is 53.

HCF(795, 106) = 53

HCF of 795, 106 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 795, 106 is 53.

Highest Common Factor of 795,106 using Euclid's algorithm

Highest Common Factor of 795,106 is 53

Step 1: Since 795 > 106, we apply the division lemma to 795 and 106, to get

795 = 106 x 7 + 53

Step 2: Since the reminder 106 ≠ 0, we apply division lemma to 53 and 106, to get

106 = 53 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 53, the HCF of 795 and 106 is 53

Notice that 53 = HCF(106,53) = HCF(795,106) .

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Frequently Asked Questions on HCF of 795, 106 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 795, 106?

Answer: HCF of 795, 106 is 53 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 795, 106 using Euclid's Algorithm?

Answer: For arbitrary numbers 795, 106 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.