Highest Common Factor of 812, 840 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 812, 840 i.e. 28 the largest integer that leaves a remainder zero for all numbers.

HCF of 812, 840 is 28 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 812, 840 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 812, 840 is 28.

HCF(812, 840) = 28

HCF of 812, 840 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 812, 840 is 28.

Highest Common Factor of 812,840 using Euclid's algorithm

Highest Common Factor of 812,840 is 28

Step 1: Since 840 > 812, we apply the division lemma to 840 and 812, to get

840 = 812 x 1 + 28

Step 2: Since the reminder 812 ≠ 0, we apply division lemma to 28 and 812, to get

812 = 28 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 812 and 840 is 28

Notice that 28 = HCF(812,28) = HCF(840,812) .

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Frequently Asked Questions on HCF of 812, 840 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 812, 840?

Answer: HCF of 812, 840 is 28 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 812, 840 using Euclid's Algorithm?

Answer: For arbitrary numbers 812, 840 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.