Highest Common Factor of 7450, 9132, 71125 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 7450, 9132, 71125 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7450, 9132, 71125 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 7450, 9132, 71125 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 7450, 9132, 71125 is 1.

HCF(7450, 9132, 71125) = 1

HCF of 7450, 9132, 71125 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 7450, 9132, 71125 is 1.

Highest Common Factor of 7450,9132,71125 using Euclid's algorithm

Highest Common Factor of 7450,9132,71125 is 1

Step 1: Since 9132 > 7450, we apply the division lemma to 9132 and 7450, to get

9132 = 7450 x 1 + 1682

Step 2: Since the reminder 7450 ≠ 0, we apply division lemma to 1682 and 7450, to get

7450 = 1682 x 4 + 722

Step 3: We consider the new divisor 1682 and the new remainder 722, and apply the division lemma to get

1682 = 722 x 2 + 238

We consider the new divisor 722 and the new remainder 238,and apply the division lemma to get

722 = 238 x 3 + 8

We consider the new divisor 238 and the new remainder 8,and apply the division lemma to get

238 = 8 x 29 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7450 and 9132 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(238,8) = HCF(722,238) = HCF(1682,722) = HCF(7450,1682) = HCF(9132,7450) .

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

Step 1: Since 71125 > 2, we apply the division lemma to 71125 and 2, to get

71125 = 2 x 35562 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 71125 is 1

Notice that 1 = HCF(2,1) = HCF(71125,2) .

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Frequently Asked Questions on HCF of 7450, 9132, 71125 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 7450, 9132, 71125?

Answer: HCF of 7450, 9132, 71125 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7450, 9132, 71125 using Euclid's Algorithm?

Answer: For arbitrary numbers 7450, 9132, 71125 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.