Highest Common Factor of 356, 714 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 356, 714 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 356, 714 is 2 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 356, 714 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 356, 714 is 2.

HCF(356, 714) = 2

HCF of 356, 714 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 356, 714 is 2.

Highest Common Factor of 356,714 using Euclid's algorithm

Highest Common Factor of 356,714 is 2

Step 1: Since 714 > 356, we apply the division lemma to 714 and 356, to get

714 = 356 x 2 + 2

Step 2: Since the reminder 356 ≠ 0, we apply division lemma to 2 and 356, to get

356 = 2 x 178 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 356 and 714 is 2

Notice that 2 = HCF(356,2) = HCF(714,356) .

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Frequently Asked Questions on HCF of 356, 714 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 356, 714?

Answer: HCF of 356, 714 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 356, 714 using Euclid's Algorithm?

Answer: For arbitrary numbers 356, 714 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.