Highest Common Factor of 858, 264 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 858, 264 i.e. 66 the largest integer that leaves a remainder zero for all numbers.

HCF of 858, 264 is 66 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 858, 264 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 858, 264 is 66.

HCF(858, 264) = 66

HCF of 858, 264 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 858, 264 is 66.

Highest Common Factor of 858,264 using Euclid's algorithm

Highest Common Factor of 858,264 is 66

Step 1: Since 858 > 264, we apply the division lemma to 858 and 264, to get

858 = 264 x 3 + 66

Step 2: Since the reminder 264 ≠ 0, we apply division lemma to 66 and 264, to get

264 = 66 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 66, the HCF of 858 and 264 is 66

Notice that 66 = HCF(264,66) = HCF(858,264) .

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Frequently Asked Questions on HCF of 858, 264 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 858, 264?

Answer: HCF of 858, 264 is 66 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 858, 264 using Euclid's Algorithm?

Answer: For arbitrary numbers 858, 264 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.