Highest Common Factor of 663, 3316 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 663, 3316 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 663, 3316 is 1 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 663, 3316 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 663, 3316 is 1.

HCF(663, 3316) = 1

HCF of 663, 3316 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 663, 3316 is 1.

Highest Common Factor of 663,3316 using Euclid's algorithm

Highest Common Factor of 663,3316 is 1

Step 1: Since 3316 > 663, we apply the division lemma to 3316 and 663, to get

3316 = 663 x 5 + 1

Step 2: Since the reminder 663 ≠ 0, we apply division lemma to 1 and 663, to get

663 = 1 x 663 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 663 and 3316 is 1

Notice that 1 = HCF(663,1) = HCF(3316,663) .

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Frequently Asked Questions on HCF of 663, 3316 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 663, 3316?

Answer: HCF of 663, 3316 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 663, 3316 using Euclid's Algorithm?

Answer: For arbitrary numbers 663, 3316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.