Highest Common Factor of 363, 396 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, 396 i.e. 33 the largest integer that leaves a remainder zero for all numbers.

HCF of 363, 396 is 33 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, 396 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, 396 is 33.

HCF(363, 396) = 33

HCF of 363, 396 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, 396 is 33.

Highest Common Factor of 363,396 using Euclid's algorithm

Highest Common Factor of 363,396 is 33

Step 1: Since 396 > 363, we apply the division lemma to 396 and 363, to get

396 = 363 x 1 + 33

Step 2: Since the reminder 363 ≠ 0, we apply division lemma to 33 and 363, to get

363 = 33 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 363 and 396 is 33

Notice that 33 = HCF(363,33) = HCF(396,363) .

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Frequently Asked Questions on HCF of 363, 396 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, 396?

Answer: HCF of 363, 396 is 33 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 363, 396 using Euclid's Algorithm?

Answer: For arbitrary numbers 363, 396 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.