Highest Common Factor of 618, 412 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 618, 412 i.e. 206 the largest integer that leaves a remainder zero for all numbers.

HCF of 618, 412 is 206 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 618, 412 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 618, 412 is 206.

HCF(618, 412) = 206

HCF of 618, 412 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 618, 412 is 206.

Highest Common Factor of 618,412 using Euclid's algorithm

Highest Common Factor of 618,412 is 206

Step 1: Since 618 > 412, we apply the division lemma to 618 and 412, to get

618 = 412 x 1 + 206

Step 2: Since the reminder 412 ≠ 0, we apply division lemma to 206 and 412, to get

412 = 206 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 206, the HCF of 618 and 412 is 206

Notice that 206 = HCF(412,206) = HCF(618,412) .

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Frequently Asked Questions on HCF of 618, 412 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 618, 412?

Answer: HCF of 618, 412 is 206 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 618, 412 using Euclid's Algorithm?

Answer: For arbitrary numbers 618, 412 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.