Highest Common Factor of 9075, 9331, 35190 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 9075, 9331, 35190 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9075, 9331, 35190 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 9075, 9331, 35190 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 9075, 9331, 35190 is 1.

HCF(9075, 9331, 35190) = 1

HCF of 9075, 9331, 35190 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 9075, 9331, 35190 is 1.

Highest Common Factor of 9075,9331,35190 using Euclid's algorithm

Highest Common Factor of 9075,9331,35190 is 1

Step 1: Since 9331 > 9075, we apply the division lemma to 9331 and 9075, to get

9331 = 9075 x 1 + 256

Step 2: Since the reminder 9075 ≠ 0, we apply division lemma to 256 and 9075, to get

9075 = 256 x 35 + 115

Step 3: We consider the new divisor 256 and the new remainder 115, and apply the division lemma to get

256 = 115 x 2 + 26

We consider the new divisor 115 and the new remainder 26,and apply the division lemma to get

115 = 26 x 4 + 11

We consider the new divisor 26 and the new remainder 11,and apply the division lemma to get

26 = 11 x 2 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 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 9075 and 9331 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(115,26) = HCF(256,115) = HCF(9075,256) = HCF(9331,9075) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 35190 > 1, we apply the division lemma to 35190 and 1, to get

35190 = 1 x 35190 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35190 is 1

Notice that 1 = HCF(35190,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 9075, 9331, 35190 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 9075, 9331, 35190?

Answer: HCF of 9075, 9331, 35190 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9075, 9331, 35190 using Euclid's Algorithm?

Answer: For arbitrary numbers 9075, 9331, 35190 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.