Highest Common Factor of 7359, 5492 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 7359, 5492 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7359, 5492 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 7359, 5492 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 7359, 5492 is 1.

HCF(7359, 5492) = 1

HCF of 7359, 5492 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 7359, 5492 is 1.

Highest Common Factor of 7359,5492 using Euclid's algorithm

Highest Common Factor of 7359,5492 is 1

Step 1: Since 7359 > 5492, we apply the division lemma to 7359 and 5492, to get

7359 = 5492 x 1 + 1867

Step 2: Since the reminder 5492 ≠ 0, we apply division lemma to 1867 and 5492, to get

5492 = 1867 x 2 + 1758

Step 3: We consider the new divisor 1867 and the new remainder 1758, and apply the division lemma to get

1867 = 1758 x 1 + 109

We consider the new divisor 1758 and the new remainder 109,and apply the division lemma to get

1758 = 109 x 16 + 14

We consider the new divisor 109 and the new remainder 14,and apply the division lemma to get

109 = 14 x 7 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 7359 and 5492 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(109,14) = HCF(1758,109) = HCF(1867,1758) = HCF(5492,1867) = HCF(7359,5492) .

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Frequently Asked Questions on HCF of 7359, 5492 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 7359, 5492?

Answer: HCF of 7359, 5492 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7359, 5492 using Euclid's Algorithm?

Answer: For arbitrary numbers 7359, 5492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.