Highest Common Factor of 363, 176 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 363, 176 i.e. 11 the largest integer that leaves a remainder zero for all numbers.

HCF of 363, 176 is 11 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 363, 176 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 363, 176 is 11.

HCF(363, 176) = 11

HCF of 363, 176 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 363, 176 is 11.

Highest Common Factor of 363,176 using Euclid's algorithm

Highest Common Factor of 363,176 is 11

Step 1: Since 363 > 176, we apply the division lemma to 363 and 176, to get

363 = 176 x 2 + 11

Step 2: Since the reminder 176 ≠ 0, we apply division lemma to 11 and 176, to get

176 = 11 x 16 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 363 and 176 is 11

Notice that 11 = HCF(176,11) = HCF(363,176) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 363, 176 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 363, 176?

Answer: HCF of 363, 176 is 11 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 363, 176 using Euclid's Algorithm?

Answer: For arbitrary numbers 363, 176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.