Highest Common Factor of 621, 414 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 621, 414 i.e. 207 the largest integer that leaves a remainder zero for all numbers.

HCF of 621, 414 is 207 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 621, 414 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 621, 414 is 207.

HCF(621, 414) = 207

HCF of 621, 414 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 621, 414 is 207.

Highest Common Factor of 621,414 using Euclid's algorithm

Highest Common Factor of 621,414 is 207

Step 1: Since 621 > 414, we apply the division lemma to 621 and 414, to get

621 = 414 x 1 + 207

Step 2: Since the reminder 414 ≠ 0, we apply division lemma to 207 and 414, to get

414 = 207 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 207, the HCF of 621 and 414 is 207

Notice that 207 = HCF(414,207) = HCF(621,414) .

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Frequently Asked Questions on HCF of 621, 414 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 621, 414?

Answer: HCF of 621, 414 is 207 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 621, 414 using Euclid's Algorithm?

Answer: For arbitrary numbers 621, 414 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.