Highest Common Factor of 406, 377 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 406, 377 i.e. 29 the largest integer that leaves a remainder zero for all numbers.

HCF of 406, 377 is 29 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 406, 377 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 406, 377 is 29.

HCF(406, 377) = 29

HCF of 406, 377 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 406, 377 is 29.

Highest Common Factor of 406,377 using Euclid's algorithm

Highest Common Factor of 406,377 is 29

Step 1: Since 406 > 377, we apply the division lemma to 406 and 377, to get

406 = 377 x 1 + 29

Step 2: Since the reminder 377 ≠ 0, we apply division lemma to 29 and 377, to get

377 = 29 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 406 and 377 is 29

Notice that 29 = HCF(377,29) = HCF(406,377) .

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Frequently Asked Questions on HCF of 406, 377 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 406, 377?

Answer: HCF of 406, 377 is 29 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 406, 377 using Euclid's Algorithm?

Answer: For arbitrary numbers 406, 377 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.