Highest Common Factor of 5380, 5976 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 5380, 5976 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 5380, 5976 is 4 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 5380, 5976 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 5380, 5976 is 4.

HCF(5380, 5976) = 4

HCF of 5380, 5976 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 5380, 5976 is 4.

Highest Common Factor of 5380,5976 using Euclid's algorithm

Highest Common Factor of 5380,5976 is 4

Step 1: Since 5976 > 5380, we apply the division lemma to 5976 and 5380, to get

5976 = 5380 x 1 + 596

Step 2: Since the reminder 5380 ≠ 0, we apply division lemma to 596 and 5380, to get

5380 = 596 x 9 + 16

Step 3: We consider the new divisor 596 and the new remainder 16, and apply the division lemma to get

596 = 16 x 37 + 4

We consider the new divisor 16 and the new remainder 4, and apply the division lemma to get

16 = 4 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5380 and 5976 is 4

Notice that 4 = HCF(16,4) = HCF(596,16) = HCF(5380,596) = HCF(5976,5380) .

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Frequently Asked Questions on HCF of 5380, 5976 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 5380, 5976?

Answer: HCF of 5380, 5976 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5380, 5976 using Euclid's Algorithm?

Answer: For arbitrary numbers 5380, 5976 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.