Highest Common Factor of 5802, 9653 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 5802, 9653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5802, 9653 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 5802, 9653 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 5802, 9653 is 1.

HCF(5802, 9653) = 1

HCF of 5802, 9653 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 5802, 9653 is 1.

Highest Common Factor of 5802,9653 using Euclid's algorithm

Highest Common Factor of 5802,9653 is 1

Step 1: Since 9653 > 5802, we apply the division lemma to 9653 and 5802, to get

9653 = 5802 x 1 + 3851

Step 2: Since the reminder 5802 ≠ 0, we apply division lemma to 3851 and 5802, to get

5802 = 3851 x 1 + 1951

Step 3: We consider the new divisor 3851 and the new remainder 1951, and apply the division lemma to get

3851 = 1951 x 1 + 1900

We consider the new divisor 1951 and the new remainder 1900,and apply the division lemma to get

1951 = 1900 x 1 + 51

We consider the new divisor 1900 and the new remainder 51,and apply the division lemma to get

1900 = 51 x 37 + 13

We consider the new divisor 51 and the new remainder 13,and apply the division lemma to get

51 = 13 x 3 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5802 and 9653 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(51,13) = HCF(1900,51) = HCF(1951,1900) = HCF(3851,1951) = HCF(5802,3851) = HCF(9653,5802) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5802, 9653 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 5802, 9653?

Answer: HCF of 5802, 9653 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5802, 9653 using Euclid's Algorithm?

Answer: For arbitrary numbers 5802, 9653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.