Highest Common Factor of 5915, 1627 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 5915, 1627 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5915, 1627 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 5915, 1627 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 5915, 1627 is 1.

HCF(5915, 1627) = 1

HCF of 5915, 1627 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 5915, 1627 is 1.

Highest Common Factor of 5915,1627 using Euclid's algorithm

Highest Common Factor of 5915,1627 is 1

Step 1: Since 5915 > 1627, we apply the division lemma to 5915 and 1627, to get

5915 = 1627 x 3 + 1034

Step 2: Since the reminder 1627 ≠ 0, we apply division lemma to 1034 and 1627, to get

1627 = 1034 x 1 + 593

Step 3: We consider the new divisor 1034 and the new remainder 593, and apply the division lemma to get

1034 = 593 x 1 + 441

We consider the new divisor 593 and the new remainder 441,and apply the division lemma to get

593 = 441 x 1 + 152

We consider the new divisor 441 and the new remainder 152,and apply the division lemma to get

441 = 152 x 2 + 137

We consider the new divisor 152 and the new remainder 137,and apply the division lemma to get

152 = 137 x 1 + 15

We consider the new divisor 137 and the new remainder 15,and apply the division lemma to get

137 = 15 x 9 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 5915 and 1627 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(137,15) = HCF(152,137) = HCF(441,152) = HCF(593,441) = HCF(1034,593) = HCF(1627,1034) = HCF(5915,1627) .

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Frequently Asked Questions on HCF of 5915, 1627 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 5915, 1627?

Answer: HCF of 5915, 1627 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5915, 1627 using Euclid's Algorithm?

Answer: For arbitrary numbers 5915, 1627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.