Highest Common Factor of 2763, 6365 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 2763, 6365 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2763, 6365 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 2763, 6365 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 2763, 6365 is 1.

HCF(2763, 6365) = 1

HCF of 2763, 6365 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 2763, 6365 is 1.

Highest Common Factor of 2763,6365 using Euclid's algorithm

Highest Common Factor of 2763,6365 is 1

Step 1: Since 6365 > 2763, we apply the division lemma to 6365 and 2763, to get

6365 = 2763 x 2 + 839

Step 2: Since the reminder 2763 ≠ 0, we apply division lemma to 839 and 2763, to get

2763 = 839 x 3 + 246

Step 3: We consider the new divisor 839 and the new remainder 246, and apply the division lemma to get

839 = 246 x 3 + 101

We consider the new divisor 246 and the new remainder 101,and apply the division lemma to get

246 = 101 x 2 + 44

We consider the new divisor 101 and the new remainder 44,and apply the division lemma to get

101 = 44 x 2 + 13

We consider the new divisor 44 and the new remainder 13,and apply the division lemma to get

44 = 13 x 3 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2763 and 6365 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(44,13) = HCF(101,44) = HCF(246,101) = HCF(839,246) = HCF(2763,839) = HCF(6365,2763) .

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Frequently Asked Questions on HCF of 2763, 6365 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 2763, 6365?

Answer: HCF of 2763, 6365 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2763, 6365 using Euclid's Algorithm?

Answer: For arbitrary numbers 2763, 6365 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.