Highest Common Factor of 9512, 3615 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 9512, 3615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9512, 3615 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 9512, 3615 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 9512, 3615 is 1.

HCF(9512, 3615) = 1

HCF of 9512, 3615 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 9512, 3615 is 1.

Highest Common Factor of 9512,3615 using Euclid's algorithm

Highest Common Factor of 9512,3615 is 1

Step 1: Since 9512 > 3615, we apply the division lemma to 9512 and 3615, to get

9512 = 3615 x 2 + 2282

Step 2: Since the reminder 3615 ≠ 0, we apply division lemma to 2282 and 3615, to get

3615 = 2282 x 1 + 1333

Step 3: We consider the new divisor 2282 and the new remainder 1333, and apply the division lemma to get

2282 = 1333 x 1 + 949

We consider the new divisor 1333 and the new remainder 949,and apply the division lemma to get

1333 = 949 x 1 + 384

We consider the new divisor 949 and the new remainder 384,and apply the division lemma to get

949 = 384 x 2 + 181

We consider the new divisor 384 and the new remainder 181,and apply the division lemma to get

384 = 181 x 2 + 22

We consider the new divisor 181 and the new remainder 22,and apply the division lemma to get

181 = 22 x 8 + 5

We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get

22 = 5 x 4 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 9512 and 3615 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(181,22) = HCF(384,181) = HCF(949,384) = HCF(1333,949) = HCF(2282,1333) = HCF(3615,2282) = HCF(9512,3615) .

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Frequently Asked Questions on HCF of 9512, 3615 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 9512, 3615?

Answer: HCF of 9512, 3615 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9512, 3615 using Euclid's Algorithm?

Answer: For arbitrary numbers 9512, 3615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.