Highest Common Factor of 5369, 9550 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 5369, 9550 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5369, 9550 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 5369, 9550 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 5369, 9550 is 1.

HCF(5369, 9550) = 1

HCF of 5369, 9550 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 5369, 9550 is 1.

Highest Common Factor of 5369,9550 using Euclid's algorithm

Highest Common Factor of 5369,9550 is 1

Step 1: Since 9550 > 5369, we apply the division lemma to 9550 and 5369, to get

9550 = 5369 x 1 + 4181

Step 2: Since the reminder 5369 ≠ 0, we apply division lemma to 4181 and 5369, to get

5369 = 4181 x 1 + 1188

Step 3: We consider the new divisor 4181 and the new remainder 1188, and apply the division lemma to get

4181 = 1188 x 3 + 617

We consider the new divisor 1188 and the new remainder 617,and apply the division lemma to get

1188 = 617 x 1 + 571

We consider the new divisor 617 and the new remainder 571,and apply the division lemma to get

617 = 571 x 1 + 46

We consider the new divisor 571 and the new remainder 46,and apply the division lemma to get

571 = 46 x 12 + 19

We consider the new divisor 46 and the new remainder 19,and apply the division lemma to get

46 = 19 x 2 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 5369 and 9550 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(46,19) = HCF(571,46) = HCF(617,571) = HCF(1188,617) = HCF(4181,1188) = HCF(5369,4181) = HCF(9550,5369) .

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Frequently Asked Questions on HCF of 5369, 9550 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 5369, 9550?

Answer: HCF of 5369, 9550 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5369, 9550 using Euclid's Algorithm?

Answer: For arbitrary numbers 5369, 9550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.