Highest Common Factor of 5932, 7759 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 5932, 7759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5932, 7759 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 5932, 7759 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 5932, 7759 is 1.

HCF(5932, 7759) = 1

HCF of 5932, 7759 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 5932, 7759 is 1.

Highest Common Factor of 5932,7759 using Euclid's algorithm

Highest Common Factor of 5932,7759 is 1

Step 1: Since 7759 > 5932, we apply the division lemma to 7759 and 5932, to get

7759 = 5932 x 1 + 1827

Step 2: Since the reminder 5932 ≠ 0, we apply division lemma to 1827 and 5932, to get

5932 = 1827 x 3 + 451

Step 3: We consider the new divisor 1827 and the new remainder 451, and apply the division lemma to get

1827 = 451 x 4 + 23

We consider the new divisor 451 and the new remainder 23,and apply the division lemma to get

451 = 23 x 19 + 14

We consider the new divisor 23 and the new remainder 14,and apply the division lemma to get

23 = 14 x 1 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5932 and 7759 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(23,14) = HCF(451,23) = HCF(1827,451) = HCF(5932,1827) = HCF(7759,5932) .

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Frequently Asked Questions on HCF of 5932, 7759 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 5932, 7759?

Answer: HCF of 5932, 7759 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5932, 7759 using Euclid's Algorithm?

Answer: For arbitrary numbers 5932, 7759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.