Highest Common Factor of 9350, 5925, 15162 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 9350, 5925, 15162 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9350, 5925, 15162 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 9350, 5925, 15162 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 9350, 5925, 15162 is 1.

HCF(9350, 5925, 15162) = 1

HCF of 9350, 5925, 15162 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 9350, 5925, 15162 is 1.

Highest Common Factor of 9350,5925,15162 using Euclid's algorithm

Highest Common Factor of 9350,5925,15162 is 1

Step 1: Since 9350 > 5925, we apply the division lemma to 9350 and 5925, to get

9350 = 5925 x 1 + 3425

Step 2: Since the reminder 5925 ≠ 0, we apply division lemma to 3425 and 5925, to get

5925 = 3425 x 1 + 2500

Step 3: We consider the new divisor 3425 and the new remainder 2500, and apply the division lemma to get

3425 = 2500 x 1 + 925

We consider the new divisor 2500 and the new remainder 925,and apply the division lemma to get

2500 = 925 x 2 + 650

We consider the new divisor 925 and the new remainder 650,and apply the division lemma to get

925 = 650 x 1 + 275

We consider the new divisor 650 and the new remainder 275,and apply the division lemma to get

650 = 275 x 2 + 100

We consider the new divisor 275 and the new remainder 100,and apply the division lemma to get

275 = 100 x 2 + 75

We consider the new divisor 100 and the new remainder 75,and apply the division lemma to get

100 = 75 x 1 + 25

We consider the new divisor 75 and the new remainder 25,and apply the division lemma to get

75 = 25 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 9350 and 5925 is 25

Notice that 25 = HCF(75,25) = HCF(100,75) = HCF(275,100) = HCF(650,275) = HCF(925,650) = HCF(2500,925) = HCF(3425,2500) = HCF(5925,3425) = HCF(9350,5925) .

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

Step 1: Since 15162 > 25, we apply the division lemma to 15162 and 25, to get

15162 = 25 x 606 + 12

Step 2: Since the reminder 25 ≠ 0, we apply division lemma to 12 and 25, to get

25 = 12 x 2 + 1

Step 3: We consider the new divisor 12 and the new remainder 1, and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 25 and 15162 is 1

Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(15162,25) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 9350, 5925, 15162 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 9350, 5925, 15162?

Answer: HCF of 9350, 5925, 15162 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9350, 5925, 15162 using Euclid's Algorithm?

Answer: For arbitrary numbers 9350, 5925, 15162 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.