Highest Common Factor of 5582, 8795 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 5582, 8795 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5582, 8795 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 5582, 8795 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 5582, 8795 is 1.

HCF(5582, 8795) = 1

HCF of 5582, 8795 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 5582, 8795 is 1.

Highest Common Factor of 5582,8795 using Euclid's algorithm

Highest Common Factor of 5582,8795 is 1

Step 1: Since 8795 > 5582, we apply the division lemma to 8795 and 5582, to get

8795 = 5582 x 1 + 3213

Step 2: Since the reminder 5582 ≠ 0, we apply division lemma to 3213 and 5582, to get

5582 = 3213 x 1 + 2369

Step 3: We consider the new divisor 3213 and the new remainder 2369, and apply the division lemma to get

3213 = 2369 x 1 + 844

We consider the new divisor 2369 and the new remainder 844,and apply the division lemma to get

2369 = 844 x 2 + 681

We consider the new divisor 844 and the new remainder 681,and apply the division lemma to get

844 = 681 x 1 + 163

We consider the new divisor 681 and the new remainder 163,and apply the division lemma to get

681 = 163 x 4 + 29

We consider the new divisor 163 and the new remainder 29,and apply the division lemma to get

163 = 29 x 5 + 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 5582 and 8795 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(29,18) = HCF(163,29) = HCF(681,163) = HCF(844,681) = HCF(2369,844) = HCF(3213,2369) = HCF(5582,3213) = HCF(8795,5582) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5582, 8795 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 5582, 8795?

Answer: HCF of 5582, 8795 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5582, 8795 using Euclid's Algorithm?

Answer: For arbitrary numbers 5582, 8795 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.