Highest Common Factor of 248, 868 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 248, 868 i.e. 124 the largest integer that leaves a remainder zero for all numbers.

HCF of 248, 868 is 124 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 248, 868 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 248, 868 is 124.

HCF(248, 868) = 124

HCF of 248, 868 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 248, 868 is 124.

Highest Common Factor of 248,868 using Euclid's algorithm

Highest Common Factor of 248,868 is 124

Step 1: Since 868 > 248, we apply the division lemma to 868 and 248, to get

868 = 248 x 3 + 124

Step 2: Since the reminder 248 ≠ 0, we apply division lemma to 124 and 248, to get

248 = 124 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 124, the HCF of 248 and 868 is 124

Notice that 124 = HCF(248,124) = HCF(868,248) .

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Frequently Asked Questions on HCF of 248, 868 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 248, 868?

Answer: HCF of 248, 868 is 124 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 248, 868 using Euclid's Algorithm?

Answer: For arbitrary numbers 248, 868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.