Highest Common Factor of 358, 356 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 358, 356 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 358, 356 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 358, 356 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 358, 356 is 2.

HCF(358, 356) = 2

HCF of 358, 356 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 358, 356 is 2.

Highest Common Factor of 358,356 using Euclid's algorithm

Highest Common Factor of 358,356 is 2

Step 1: Since 358 > 356, we apply the division lemma to 358 and 356, to get

358 = 356 x 1 + 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 358 and 356 is 2

Notice that 2 = HCF(356,2) = HCF(358,356) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 358, 356 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 358, 356?

Answer: HCF of 358, 356 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 358, 356 using Euclid's Algorithm?

Answer: For arbitrary numbers 358, 356 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.