Highest Common Factor of 9236, 5983 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, 5983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9236, 5983 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, 5983 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, 5983 is 1.

HCF(9236, 5983) = 1

HCF of 9236, 5983 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, 5983 is 1.

Highest Common Factor of 9236,5983 using Euclid's algorithm

Highest Common Factor of 9236,5983 is 1

Step 1: Since 9236 > 5983, we apply the division lemma to 9236 and 5983, to get

9236 = 5983 x 1 + 3253

Step 2: Since the reminder 5983 ≠ 0, we apply division lemma to 3253 and 5983, to get

5983 = 3253 x 1 + 2730

Step 3: We consider the new divisor 3253 and the new remainder 2730, and apply the division lemma to get

3253 = 2730 x 1 + 523

We consider the new divisor 2730 and the new remainder 523,and apply the division lemma to get

2730 = 523 x 5 + 115

We consider the new divisor 523 and the new remainder 115,and apply the division lemma to get

523 = 115 x 4 + 63

We consider the new divisor 115 and the new remainder 63,and apply the division lemma to get

115 = 63 x 1 + 52

We consider the new divisor 63 and the new remainder 52,and apply the division lemma to get

63 = 52 x 1 + 11

We consider the new divisor 52 and the new remainder 11,and apply the division lemma to get

52 = 11 x 4 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 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 9236 and 5983 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(52,11) = HCF(63,52) = HCF(115,63) = HCF(523,115) = HCF(2730,523) = HCF(3253,2730) = HCF(5983,3253) = HCF(9236,5983) .

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Frequently Asked Questions on HCF of 9236, 5983 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, 5983?

Answer: HCF of 9236, 5983 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9236, 5983 using Euclid's Algorithm?

Answer: For arbitrary numbers 9236, 5983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.