Highest Common Factor of 5637, 9477, 26933 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 5637, 9477, 26933 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5637, 9477, 26933 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 5637, 9477, 26933 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 5637, 9477, 26933 is 1.

HCF(5637, 9477, 26933) = 1

HCF of 5637, 9477, 26933 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 5637, 9477, 26933 is 1.

Highest Common Factor of 5637,9477,26933 using Euclid's algorithm

Highest Common Factor of 5637,9477,26933 is 1

Step 1: Since 9477 > 5637, we apply the division lemma to 9477 and 5637, to get

9477 = 5637 x 1 + 3840

Step 2: Since the reminder 5637 ≠ 0, we apply division lemma to 3840 and 5637, to get

5637 = 3840 x 1 + 1797

Step 3: We consider the new divisor 3840 and the new remainder 1797, and apply the division lemma to get

3840 = 1797 x 2 + 246

We consider the new divisor 1797 and the new remainder 246,and apply the division lemma to get

1797 = 246 x 7 + 75

We consider the new divisor 246 and the new remainder 75,and apply the division lemma to get

246 = 75 x 3 + 21

We consider the new divisor 75 and the new remainder 21,and apply the division lemma to get

75 = 21 x 3 + 12

We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get

21 = 12 x 1 + 9

We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get

12 = 9 x 1 + 3

We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get

9 = 3 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5637 and 9477 is 3

Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(75,21) = HCF(246,75) = HCF(1797,246) = HCF(3840,1797) = HCF(5637,3840) = HCF(9477,5637) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 26933 > 3, we apply the division lemma to 26933 and 3, to get

26933 = 3 x 8977 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 26933 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26933,3) .

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Frequently Asked Questions on HCF of 5637, 9477, 26933 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 5637, 9477, 26933?

Answer: HCF of 5637, 9477, 26933 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5637, 9477, 26933 using Euclid's Algorithm?

Answer: For arbitrary numbers 5637, 9477, 26933 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.