Highest Common Factor of 2633, 9555 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 2633, 9555 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2633, 9555 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 2633, 9555 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 2633, 9555 is 1.

HCF(2633, 9555) = 1

HCF of 2633, 9555 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 2633, 9555 is 1.

Highest Common Factor of 2633,9555 using Euclid's algorithm

Highest Common Factor of 2633,9555 is 1

Step 1: Since 9555 > 2633, we apply the division lemma to 9555 and 2633, to get

9555 = 2633 x 3 + 1656

Step 2: Since the reminder 2633 ≠ 0, we apply division lemma to 1656 and 2633, to get

2633 = 1656 x 1 + 977

Step 3: We consider the new divisor 1656 and the new remainder 977, and apply the division lemma to get

1656 = 977 x 1 + 679

We consider the new divisor 977 and the new remainder 679,and apply the division lemma to get

977 = 679 x 1 + 298

We consider the new divisor 679 and the new remainder 298,and apply the division lemma to get

679 = 298 x 2 + 83

We consider the new divisor 298 and the new remainder 83,and apply the division lemma to get

298 = 83 x 3 + 49

We consider the new divisor 83 and the new remainder 49,and apply the division lemma to get

83 = 49 x 1 + 34

We consider the new divisor 49 and the new remainder 34,and apply the division lemma to get

49 = 34 x 1 + 15

We consider the new divisor 34 and the new remainder 15,and apply the division lemma to get

34 = 15 x 2 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2633 and 9555 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(34,15) = HCF(49,34) = HCF(83,49) = HCF(298,83) = HCF(679,298) = HCF(977,679) = HCF(1656,977) = HCF(2633,1656) = HCF(9555,2633) .

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Frequently Asked Questions on HCF of 2633, 9555 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 2633, 9555?

Answer: HCF of 2633, 9555 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2633, 9555 using Euclid's Algorithm?

Answer: For arbitrary numbers 2633, 9555 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.