Highest Common Factor of 5744, 6716, 11771 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 5744, 6716, 11771 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5744, 6716, 11771 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 5744, 6716, 11771 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 5744, 6716, 11771 is 1.

HCF(5744, 6716, 11771) = 1

HCF of 5744, 6716, 11771 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 5744, 6716, 11771 is 1.

Highest Common Factor of 5744,6716,11771 using Euclid's algorithm

Highest Common Factor of 5744,6716,11771 is 1

Step 1: Since 6716 > 5744, we apply the division lemma to 6716 and 5744, to get

6716 = 5744 x 1 + 972

Step 2: Since the reminder 5744 ≠ 0, we apply division lemma to 972 and 5744, to get

5744 = 972 x 5 + 884

Step 3: We consider the new divisor 972 and the new remainder 884, and apply the division lemma to get

972 = 884 x 1 + 88

We consider the new divisor 884 and the new remainder 88,and apply the division lemma to get

884 = 88 x 10 + 4

We consider the new divisor 88 and the new remainder 4,and apply the division lemma to get

88 = 4 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5744 and 6716 is 4

Notice that 4 = HCF(88,4) = HCF(884,88) = HCF(972,884) = HCF(5744,972) = HCF(6716,5744) .

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

Step 1: Since 11771 > 4, we apply the division lemma to 11771 and 4, to get

11771 = 4 x 2942 + 3

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get

4 = 3 x 1 + 1

Step 3: 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 4 and 11771 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11771,4) .

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Frequently Asked Questions on HCF of 5744, 6716, 11771 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 5744, 6716, 11771?

Answer: HCF of 5744, 6716, 11771 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5744, 6716, 11771 using Euclid's Algorithm?

Answer: For arbitrary numbers 5744, 6716, 11771 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.