Highest Common Factor of 9236, 2533 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 9236, 2533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9236, 2533 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 9236, 2533 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 9236, 2533 is 1.

HCF(9236, 2533) = 1

HCF of 9236, 2533 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 9236, 2533 is 1.

Highest Common Factor of 9236,2533 using Euclid's algorithm

Highest Common Factor of 9236,2533 is 1

Step 1: Since 9236 > 2533, we apply the division lemma to 9236 and 2533, to get

9236 = 2533 x 3 + 1637

Step 2: Since the reminder 2533 ≠ 0, we apply division lemma to 1637 and 2533, to get

2533 = 1637 x 1 + 896

Step 3: We consider the new divisor 1637 and the new remainder 896, and apply the division lemma to get

1637 = 896 x 1 + 741

We consider the new divisor 896 and the new remainder 741,and apply the division lemma to get

896 = 741 x 1 + 155

We consider the new divisor 741 and the new remainder 155,and apply the division lemma to get

741 = 155 x 4 + 121

We consider the new divisor 155 and the new remainder 121,and apply the division lemma to get

155 = 121 x 1 + 34

We consider the new divisor 121 and the new remainder 34,and apply the division lemma to get

121 = 34 x 3 + 19

We consider the new divisor 34 and the new remainder 19,and apply the division lemma to get

34 = 19 x 1 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 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 9236 and 2533 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(34,19) = HCF(121,34) = HCF(155,121) = HCF(741,155) = HCF(896,741) = HCF(1637,896) = HCF(2533,1637) = HCF(9236,2533) .

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Frequently Asked Questions on HCF of 9236, 2533 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 9236, 2533?

Answer: HCF of 9236, 2533 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9236, 2533 using Euclid's Algorithm?

Answer: For arbitrary numbers 9236, 2533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.