Highest Common Factor of 9562, 5835 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 9562, 5835 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9562, 5835 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 9562, 5835 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 9562, 5835 is 1.

HCF(9562, 5835) = 1

HCF of 9562, 5835 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 9562, 5835 is 1.

Highest Common Factor of 9562,5835 using Euclid's algorithm

Highest Common Factor of 9562,5835 is 1

Step 1: Since 9562 > 5835, we apply the division lemma to 9562 and 5835, to get

9562 = 5835 x 1 + 3727

Step 2: Since the reminder 5835 ≠ 0, we apply division lemma to 3727 and 5835, to get

5835 = 3727 x 1 + 2108

Step 3: We consider the new divisor 3727 and the new remainder 2108, and apply the division lemma to get

3727 = 2108 x 1 + 1619

We consider the new divisor 2108 and the new remainder 1619,and apply the division lemma to get

2108 = 1619 x 1 + 489

We consider the new divisor 1619 and the new remainder 489,and apply the division lemma to get

1619 = 489 x 3 + 152

We consider the new divisor 489 and the new remainder 152,and apply the division lemma to get

489 = 152 x 3 + 33

We consider the new divisor 152 and the new remainder 33,and apply the division lemma to get

152 = 33 x 4 + 20

We consider the new divisor 33 and the new remainder 20,and apply the division lemma to get

33 = 20 x 1 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 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 9562 and 5835 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(33,20) = HCF(152,33) = HCF(489,152) = HCF(1619,489) = HCF(2108,1619) = HCF(3727,2108) = HCF(5835,3727) = HCF(9562,5835) .

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Frequently Asked Questions on HCF of 9562, 5835 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 9562, 5835?

Answer: HCF of 9562, 5835 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9562, 5835 using Euclid's Algorithm?

Answer: For arbitrary numbers 9562, 5835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.