Highest Common Factor of 2683, 9652 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 2683, 9652 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2683, 9652 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 2683, 9652 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 2683, 9652 is 1.

HCF(2683, 9652) = 1

HCF of 2683, 9652 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 2683, 9652 is 1.

Highest Common Factor of 2683,9652 using Euclid's algorithm

Highest Common Factor of 2683,9652 is 1

Step 1: Since 9652 > 2683, we apply the division lemma to 9652 and 2683, to get

9652 = 2683 x 3 + 1603

Step 2: Since the reminder 2683 ≠ 0, we apply division lemma to 1603 and 2683, to get

2683 = 1603 x 1 + 1080

Step 3: We consider the new divisor 1603 and the new remainder 1080, and apply the division lemma to get

1603 = 1080 x 1 + 523

We consider the new divisor 1080 and the new remainder 523,and apply the division lemma to get

1080 = 523 x 2 + 34

We consider the new divisor 523 and the new remainder 34,and apply the division lemma to get

523 = 34 x 15 + 13

We consider the new divisor 34 and the new remainder 13,and apply the division lemma to get

34 = 13 x 2 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 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 2683 and 9652 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(34,13) = HCF(523,34) = HCF(1080,523) = HCF(1603,1080) = HCF(2683,1603) = HCF(9652,2683) .

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Frequently Asked Questions on HCF of 2683, 9652 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 2683, 9652?

Answer: HCF of 2683, 9652 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2683, 9652 using Euclid's Algorithm?

Answer: For arbitrary numbers 2683, 9652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.