Highest Common Factor of 1315, 5992 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 1315, 5992 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1315, 5992 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 1315, 5992 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 1315, 5992 is 1.

HCF(1315, 5992) = 1

HCF of 1315, 5992 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 1315, 5992 is 1.

Highest Common Factor of 1315,5992 using Euclid's algorithm

Highest Common Factor of 1315,5992 is 1

Step 1: Since 5992 > 1315, we apply the division lemma to 5992 and 1315, to get

5992 = 1315 x 4 + 732

Step 2: Since the reminder 1315 ≠ 0, we apply division lemma to 732 and 1315, to get

1315 = 732 x 1 + 583

Step 3: We consider the new divisor 732 and the new remainder 583, and apply the division lemma to get

732 = 583 x 1 + 149

We consider the new divisor 583 and the new remainder 149,and apply the division lemma to get

583 = 149 x 3 + 136

We consider the new divisor 149 and the new remainder 136,and apply the division lemma to get

149 = 136 x 1 + 13

We consider the new divisor 136 and the new remainder 13,and apply the division lemma to get

136 = 13 x 10 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1315 and 5992 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(136,13) = HCF(149,136) = HCF(583,149) = HCF(732,583) = HCF(1315,732) = HCF(5992,1315) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 1315, 5992 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 1315, 5992?

Answer: HCF of 1315, 5992 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1315, 5992 using Euclid's Algorithm?

Answer: For arbitrary numbers 1315, 5992 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.