Highest Common Factor of 608, 684 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 608, 684 i.e. 76 the largest integer that leaves a remainder zero for all numbers.

HCF of 608, 684 is 76 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 608, 684 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 608, 684 is 76.

HCF(608, 684) = 76

HCF of 608, 684 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 608, 684 is 76.

Highest Common Factor of 608,684 using Euclid's algorithm

Highest Common Factor of 608,684 is 76

Step 1: Since 684 > 608, we apply the division lemma to 684 and 608, to get

684 = 608 x 1 + 76

Step 2: Since the reminder 608 ≠ 0, we apply division lemma to 76 and 608, to get

608 = 76 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 76, the HCF of 608 and 684 is 76

Notice that 76 = HCF(608,76) = HCF(684,608) .

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Frequently Asked Questions on HCF of 608, 684 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 608, 684?

Answer: HCF of 608, 684 is 76 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 608, 684 using Euclid's Algorithm?

Answer: For arbitrary numbers 608, 684 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.