Highest Common Factor of 5132, 5965 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 5132, 5965 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5132, 5965 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 5132, 5965 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 5132, 5965 is 1.

HCF(5132, 5965) = 1

HCF of 5132, 5965 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 5132, 5965 is 1.

Highest Common Factor of 5132,5965 using Euclid's algorithm

Highest Common Factor of 5132,5965 is 1

Step 1: Since 5965 > 5132, we apply the division lemma to 5965 and 5132, to get

5965 = 5132 x 1 + 833

Step 2: Since the reminder 5132 ≠ 0, we apply division lemma to 833 and 5132, to get

5132 = 833 x 6 + 134

Step 3: We consider the new divisor 833 and the new remainder 134, and apply the division lemma to get

833 = 134 x 6 + 29

We consider the new divisor 134 and the new remainder 29,and apply the division lemma to get

134 = 29 x 4 + 18

We consider the new divisor 29 and the new remainder 18,and apply the division lemma to get

29 = 18 x 1 + 11

We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get

18 = 11 x 1 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5132 and 5965 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(29,18) = HCF(134,29) = HCF(833,134) = HCF(5132,833) = HCF(5965,5132) .

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Frequently Asked Questions on HCF of 5132, 5965 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 5132, 5965?

Answer: HCF of 5132, 5965 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5132, 5965 using Euclid's Algorithm?

Answer: For arbitrary numbers 5132, 5965 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.