Highest Common Factor of 9329, 1419, 72487 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 9329, 1419, 72487 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9329, 1419, 72487 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 9329, 1419, 72487 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 9329, 1419, 72487 is 1.

HCF(9329, 1419, 72487) = 1

HCF of 9329, 1419, 72487 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 9329, 1419, 72487 is 1.

Highest Common Factor of 9329,1419,72487 using Euclid's algorithm

Highest Common Factor of 9329,1419,72487 is 1

Step 1: Since 9329 > 1419, we apply the division lemma to 9329 and 1419, to get

9329 = 1419 x 6 + 815

Step 2: Since the reminder 1419 ≠ 0, we apply division lemma to 815 and 1419, to get

1419 = 815 x 1 + 604

Step 3: We consider the new divisor 815 and the new remainder 604, and apply the division lemma to get

815 = 604 x 1 + 211

We consider the new divisor 604 and the new remainder 211,and apply the division lemma to get

604 = 211 x 2 + 182

We consider the new divisor 211 and the new remainder 182,and apply the division lemma to get

211 = 182 x 1 + 29

We consider the new divisor 182 and the new remainder 29,and apply the division lemma to get

182 = 29 x 6 + 8

We consider the new divisor 29 and the new remainder 8,and apply the division lemma to get

29 = 8 x 3 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 9329 and 1419 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(29,8) = HCF(182,29) = HCF(211,182) = HCF(604,211) = HCF(815,604) = HCF(1419,815) = HCF(9329,1419) .

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

Step 1: Since 72487 > 1, we apply the division lemma to 72487 and 1, to get

72487 = 1 x 72487 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72487 is 1

Notice that 1 = HCF(72487,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 9329, 1419, 72487 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 9329, 1419, 72487?

Answer: HCF of 9329, 1419, 72487 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9329, 1419, 72487 using Euclid's Algorithm?

Answer: For arbitrary numbers 9329, 1419, 72487 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.