Highest Common Factor of 798, 532 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 798, 532 i.e. 266 the largest integer that leaves a remainder zero for all numbers.

HCF of 798, 532 is 266 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 798, 532 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 798, 532 is 266.

HCF(798, 532) = 266

HCF of 798, 532 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 798, 532 is 266.

Highest Common Factor of 798,532 using Euclid's algorithm

Highest Common Factor of 798,532 is 266

Step 1: Since 798 > 532, we apply the division lemma to 798 and 532, to get

798 = 532 x 1 + 266

Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 266 and 532, to get

532 = 266 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 266, the HCF of 798 and 532 is 266

Notice that 266 = HCF(532,266) = HCF(798,532) .

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Frequently Asked Questions on HCF of 798, 532 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 798, 532?

Answer: HCF of 798, 532 is 266 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 798, 532 using Euclid's Algorithm?

Answer: For arbitrary numbers 798, 532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.