Highest Common Factor of 820, 800 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 820, 800 i.e. 20 the largest integer that leaves a remainder zero for all numbers.

HCF of 820, 800 is 20 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 820, 800 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 820, 800 is 20.

HCF(820, 800) = 20

HCF of 820, 800 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 820, 800 is 20.

Highest Common Factor of 820,800 using Euclid's algorithm

Highest Common Factor of 820,800 is 20

Step 1: Since 820 > 800, we apply the division lemma to 820 and 800, to get

820 = 800 x 1 + 20

Step 2: Since the reminder 800 ≠ 0, we apply division lemma to 20 and 800, to get

800 = 20 x 40 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 20, the HCF of 820 and 800 is 20

Notice that 20 = HCF(800,20) = HCF(820,800) .

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Frequently Asked Questions on HCF of 820, 800 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 820, 800?

Answer: HCF of 820, 800 is 20 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 820, 800 using Euclid's Algorithm?

Answer: For arbitrary numbers 820, 800 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.