Highest Common Factor of 9244, 2582 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 9244, 2582 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 9244, 2582 is 2 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 9244, 2582 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 9244, 2582 is 2.

HCF(9244, 2582) = 2

HCF of 9244, 2582 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 9244, 2582 is 2.

Highest Common Factor of 9244,2582 using Euclid's algorithm

Highest Common Factor of 9244,2582 is 2

Step 1: Since 9244 > 2582, we apply the division lemma to 9244 and 2582, to get

9244 = 2582 x 3 + 1498

Step 2: Since the reminder 2582 ≠ 0, we apply division lemma to 1498 and 2582, to get

2582 = 1498 x 1 + 1084

Step 3: We consider the new divisor 1498 and the new remainder 1084, and apply the division lemma to get

1498 = 1084 x 1 + 414

We consider the new divisor 1084 and the new remainder 414,and apply the division lemma to get

1084 = 414 x 2 + 256

We consider the new divisor 414 and the new remainder 256,and apply the division lemma to get

414 = 256 x 1 + 158

We consider the new divisor 256 and the new remainder 158,and apply the division lemma to get

256 = 158 x 1 + 98

We consider the new divisor 158 and the new remainder 98,and apply the division lemma to get

158 = 98 x 1 + 60

We consider the new divisor 98 and the new remainder 60,and apply the division lemma to get

98 = 60 x 1 + 38

We consider the new divisor 60 and the new remainder 38,and apply the division lemma to get

60 = 38 x 1 + 22

We consider the new divisor 38 and the new remainder 22,and apply the division lemma to get

38 = 22 x 1 + 16

We consider the new divisor 22 and the new remainder 16,and apply the division lemma to get

22 = 16 x 1 + 6

We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get

16 = 6 x 2 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9244 and 2582 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(22,16) = HCF(38,22) = HCF(60,38) = HCF(98,60) = HCF(158,98) = HCF(256,158) = HCF(414,256) = HCF(1084,414) = HCF(1498,1084) = HCF(2582,1498) = HCF(9244,2582) .

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Frequently Asked Questions on HCF of 9244, 2582 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 9244, 2582?

Answer: HCF of 9244, 2582 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9244, 2582 using Euclid's Algorithm?

Answer: For arbitrary numbers 9244, 2582 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.