Highest Common Factor of 468, 546 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 468, 546 i.e. 78 the largest integer that leaves a remainder zero for all numbers.

HCF of 468, 546 is 78 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 468, 546 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 468, 546 is 78.

HCF(468, 546) = 78

HCF of 468, 546 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 468, 546 is 78.

Highest Common Factor of 468,546 using Euclid's algorithm

Highest Common Factor of 468,546 is 78

Step 1: Since 546 > 468, we apply the division lemma to 546 and 468, to get

546 = 468 x 1 + 78

Step 2: Since the reminder 468 ≠ 0, we apply division lemma to 78 and 468, to get

468 = 78 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 78, the HCF of 468 and 546 is 78

Notice that 78 = HCF(468,78) = HCF(546,468) .

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Frequently Asked Questions on HCF of 468, 546 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 468, 546?

Answer: HCF of 468, 546 is 78 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 468, 546 using Euclid's Algorithm?

Answer: For arbitrary numbers 468, 546 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.