Highest Common Factor of 3328, 9115 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 3328, 9115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3328, 9115 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 3328, 9115 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 3328, 9115 is 1.

HCF(3328, 9115) = 1

HCF of 3328, 9115 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 3328, 9115 is 1.

Highest Common Factor of 3328,9115 using Euclid's algorithm

Highest Common Factor of 3328,9115 is 1

Step 1: Since 9115 > 3328, we apply the division lemma to 9115 and 3328, to get

9115 = 3328 x 2 + 2459

Step 2: Since the reminder 3328 ≠ 0, we apply division lemma to 2459 and 3328, to get

3328 = 2459 x 1 + 869

Step 3: We consider the new divisor 2459 and the new remainder 869, and apply the division lemma to get

2459 = 869 x 2 + 721

We consider the new divisor 869 and the new remainder 721,and apply the division lemma to get

869 = 721 x 1 + 148

We consider the new divisor 721 and the new remainder 148,and apply the division lemma to get

721 = 148 x 4 + 129

We consider the new divisor 148 and the new remainder 129,and apply the division lemma to get

148 = 129 x 1 + 19

We consider the new divisor 129 and the new remainder 19,and apply the division lemma to get

129 = 19 x 6 + 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 3328 and 9115 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(129,19) = HCF(148,129) = HCF(721,148) = HCF(869,721) = HCF(2459,869) = HCF(3328,2459) = HCF(9115,3328) .

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Frequently Asked Questions on HCF of 3328, 9115 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 3328, 9115?

Answer: HCF of 3328, 9115 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3328, 9115 using Euclid's Algorithm?

Answer: For arbitrary numbers 3328, 9115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.