Highest Common Factor of 536, 544 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 536, 544 i.e. 8 the largest integer that leaves a remainder zero for all numbers.

HCF of 536, 544 is 8 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 536, 544 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 536, 544 is 8.

HCF(536, 544) = 8

HCF of 536, 544 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 536, 544 is 8.

Highest Common Factor of 536,544 using Euclid's algorithm

Highest Common Factor of 536,544 is 8

Step 1: Since 544 > 536, we apply the division lemma to 544 and 536, to get

544 = 536 x 1 + 8

Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 8 and 536, to get

536 = 8 x 67 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 536 and 544 is 8

Notice that 8 = HCF(536,8) = HCF(544,536) .

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Frequently Asked Questions on HCF of 536, 544 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 536, 544?

Answer: HCF of 536, 544 is 8 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 536, 544 using Euclid's Algorithm?

Answer: For arbitrary numbers 536, 544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.