Highest Common Factor of 5641, 9312, 99159 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 5641, 9312, 99159 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5641, 9312, 99159 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 5641, 9312, 99159 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 5641, 9312, 99159 is 1.

HCF(5641, 9312, 99159) = 1

HCF of 5641, 9312, 99159 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 5641, 9312, 99159 is 1.

Highest Common Factor of 5641,9312,99159 using Euclid's algorithm

Highest Common Factor of 5641,9312,99159 is 1

Step 1: Since 9312 > 5641, we apply the division lemma to 9312 and 5641, to get

9312 = 5641 x 1 + 3671

Step 2: Since the reminder 5641 ≠ 0, we apply division lemma to 3671 and 5641, to get

5641 = 3671 x 1 + 1970

Step 3: We consider the new divisor 3671 and the new remainder 1970, and apply the division lemma to get

3671 = 1970 x 1 + 1701

We consider the new divisor 1970 and the new remainder 1701,and apply the division lemma to get

1970 = 1701 x 1 + 269

We consider the new divisor 1701 and the new remainder 269,and apply the division lemma to get

1701 = 269 x 6 + 87

We consider the new divisor 269 and the new remainder 87,and apply the division lemma to get

269 = 87 x 3 + 8

We consider the new divisor 87 and the new remainder 8,and apply the division lemma to get

87 = 8 x 10 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5641 and 9312 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(87,8) = HCF(269,87) = HCF(1701,269) = HCF(1970,1701) = HCF(3671,1970) = HCF(5641,3671) = HCF(9312,5641) .

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

Step 1: Since 99159 > 1, we apply the division lemma to 99159 and 1, to get

99159 = 1 x 99159 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99159 is 1

Notice that 1 = HCF(99159,1) .

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Frequently Asked Questions on HCF of 5641, 9312, 99159 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 5641, 9312, 99159?

Answer: HCF of 5641, 9312, 99159 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5641, 9312, 99159 using Euclid's Algorithm?

Answer: For arbitrary numbers 5641, 9312, 99159 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.