Highest Common Factor of 9749, 5748 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 9749, 5748 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9749, 5748 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 9749, 5748 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 9749, 5748 is 1.

HCF(9749, 5748) = 1

HCF of 9749, 5748 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 9749, 5748 is 1.

Highest Common Factor of 9749,5748 using Euclid's algorithm

Highest Common Factor of 9749,5748 is 1

Step 1: Since 9749 > 5748, we apply the division lemma to 9749 and 5748, to get

9749 = 5748 x 1 + 4001

Step 2: Since the reminder 5748 ≠ 0, we apply division lemma to 4001 and 5748, to get

5748 = 4001 x 1 + 1747

Step 3: We consider the new divisor 4001 and the new remainder 1747, and apply the division lemma to get

4001 = 1747 x 2 + 507

We consider the new divisor 1747 and the new remainder 507,and apply the division lemma to get

1747 = 507 x 3 + 226

We consider the new divisor 507 and the new remainder 226,and apply the division lemma to get

507 = 226 x 2 + 55

We consider the new divisor 226 and the new remainder 55,and apply the division lemma to get

226 = 55 x 4 + 6

We consider the new divisor 55 and the new remainder 6,and apply the division lemma to get

55 = 6 x 9 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9749 and 5748 is 1

Notice that 1 = HCF(6,1) = HCF(55,6) = HCF(226,55) = HCF(507,226) = HCF(1747,507) = HCF(4001,1747) = HCF(5748,4001) = HCF(9749,5748) .

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Frequently Asked Questions on HCF of 9749, 5748 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 9749, 5748?

Answer: HCF of 9749, 5748 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9749, 5748 using Euclid's Algorithm?

Answer: For arbitrary numbers 9749, 5748 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.