Highest Common Factor of 486, 405 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 486, 405 i.e. 81 the largest integer that leaves a remainder zero for all numbers.

HCF of 486, 405 is 81 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 486, 405 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 486, 405 is 81.

HCF(486, 405) = 81

HCF of 486, 405 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 486, 405 is 81.

Highest Common Factor of 486,405 using Euclid's algorithm

Highest Common Factor of 486,405 is 81

Step 1: Since 486 > 405, we apply the division lemma to 486 and 405, to get

486 = 405 x 1 + 81

Step 2: Since the reminder 405 ≠ 0, we apply division lemma to 81 and 405, to get

405 = 81 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 81, the HCF of 486 and 405 is 81

Notice that 81 = HCF(405,81) = HCF(486,405) .

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Frequently Asked Questions on HCF of 486, 405 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 486, 405?

Answer: HCF of 486, 405 is 81 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 486, 405 using Euclid's Algorithm?

Answer: For arbitrary numbers 486, 405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.