Highest Common Factor of 915, 536, 748 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 915, 536, 748 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 915, 536, 748 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 915, 536, 748 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 915, 536, 748 is 1.

HCF(915, 536, 748) = 1

HCF of 915, 536, 748 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 915, 536, 748 is 1.

Highest Common Factor of 915,536,748 using Euclid's algorithm

Highest Common Factor of 915,536,748 is 1

Step 1: Since 915 > 536, we apply the division lemma to 915 and 536, to get

915 = 536 x 1 + 379

Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 379 and 536, to get

536 = 379 x 1 + 157

Step 3: We consider the new divisor 379 and the new remainder 157, and apply the division lemma to get

379 = 157 x 2 + 65

We consider the new divisor 157 and the new remainder 65,and apply the division lemma to get

157 = 65 x 2 + 27

We consider the new divisor 65 and the new remainder 27,and apply the division lemma to get

65 = 27 x 2 + 11

We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get

27 = 11 x 2 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 915 and 536 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(65,27) = HCF(157,65) = HCF(379,157) = HCF(536,379) = HCF(915,536) .

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

Step 1: Since 748 > 1, we apply the division lemma to 748 and 1, to get

748 = 1 x 748 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 748 is 1

Notice that 1 = HCF(748,1) .

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Frequently Asked Questions on HCF of 915, 536, 748 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 915, 536, 748?

Answer: HCF of 915, 536, 748 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 915, 536, 748 using Euclid's Algorithm?

Answer: For arbitrary numbers 915, 536, 748 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.