Highest Common Factor of 408, 612 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 408, 612 i.e. 204 the largest integer that leaves a remainder zero for all numbers.

HCF of 408, 612 is 204 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 408, 612 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 408, 612 is 204.

HCF(408, 612) = 204

HCF of 408, 612 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 408, 612 is 204.

Highest Common Factor of 408,612 using Euclid's algorithm

Highest Common Factor of 408,612 is 204

Step 1: Since 612 > 408, we apply the division lemma to 612 and 408, to get

612 = 408 x 1 + 204

Step 2: Since the reminder 408 ≠ 0, we apply division lemma to 204 and 408, to get

408 = 204 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 204, the HCF of 408 and 612 is 204

Notice that 204 = HCF(408,204) = HCF(612,408) .

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Frequently Asked Questions on HCF of 408, 612 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 408, 612?

Answer: HCF of 408, 612 is 204 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 408, 612 using Euclid's Algorithm?

Answer: For arbitrary numbers 408, 612 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.