Highest Common Factor of 264, 836 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 264, 836 i.e. 44 the largest integer that leaves a remainder zero for all numbers.

HCF of 264, 836 is 44 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 264, 836 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 264, 836 is 44.

HCF(264, 836) = 44

HCF of 264, 836 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 264, 836 is 44.

Highest Common Factor of 264,836 using Euclid's algorithm

Highest Common Factor of 264,836 is 44

Step 1: Since 836 > 264, we apply the division lemma to 836 and 264, to get

836 = 264 x 3 + 44

Step 2: Since the reminder 264 ≠ 0, we apply division lemma to 44 and 264, to get

264 = 44 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 44, the HCF of 264 and 836 is 44

Notice that 44 = HCF(264,44) = HCF(836,264) .

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Frequently Asked Questions on HCF of 264, 836 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 264, 836?

Answer: HCF of 264, 836 is 44 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 264, 836 using Euclid's Algorithm?

Answer: For arbitrary numbers 264, 836 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.