Highest Common Factor of 5591, 9179 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 5591, 9179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5591, 9179 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 5591, 9179 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 5591, 9179 is 1.

HCF(5591, 9179) = 1

HCF of 5591, 9179 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 5591, 9179 is 1.

Highest Common Factor of 5591,9179 using Euclid's algorithm

Highest Common Factor of 5591,9179 is 1

Step 1: Since 9179 > 5591, we apply the division lemma to 9179 and 5591, to get

9179 = 5591 x 1 + 3588

Step 2: Since the reminder 5591 ≠ 0, we apply division lemma to 3588 and 5591, to get

5591 = 3588 x 1 + 2003

Step 3: We consider the new divisor 3588 and the new remainder 2003, and apply the division lemma to get

3588 = 2003 x 1 + 1585

We consider the new divisor 2003 and the new remainder 1585,and apply the division lemma to get

2003 = 1585 x 1 + 418

We consider the new divisor 1585 and the new remainder 418,and apply the division lemma to get

1585 = 418 x 3 + 331

We consider the new divisor 418 and the new remainder 331,and apply the division lemma to get

418 = 331 x 1 + 87

We consider the new divisor 331 and the new remainder 87,and apply the division lemma to get

331 = 87 x 3 + 70

We consider the new divisor 87 and the new remainder 70,and apply the division lemma to get

87 = 70 x 1 + 17

We consider the new divisor 70 and the new remainder 17,and apply the division lemma to get

70 = 17 x 4 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 1

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 5591 and 9179 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(70,17) = HCF(87,70) = HCF(331,87) = HCF(418,331) = HCF(1585,418) = HCF(2003,1585) = HCF(3588,2003) = HCF(5591,3588) = HCF(9179,5591) .

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Frequently Asked Questions on HCF of 5591, 9179 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 5591, 9179?

Answer: HCF of 5591, 9179 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5591, 9179 using Euclid's Algorithm?

Answer: For arbitrary numbers 5591, 9179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.