Highest Common Factor of 653, 8329, 7525 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 653, 8329, 7525 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 653, 8329, 7525 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 653, 8329, 7525 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 653, 8329, 7525 is 1.

HCF(653, 8329, 7525) = 1

HCF of 653, 8329, 7525 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 653, 8329, 7525 is 1.

Highest Common Factor of 653,8329,7525 using Euclid's algorithm

Highest Common Factor of 653,8329,7525 is 1

Step 1: Since 8329 > 653, we apply the division lemma to 8329 and 653, to get

8329 = 653 x 12 + 493

Step 2: Since the reminder 653 ≠ 0, we apply division lemma to 493 and 653, to get

653 = 493 x 1 + 160

Step 3: We consider the new divisor 493 and the new remainder 160, and apply the division lemma to get

493 = 160 x 3 + 13

We consider the new divisor 160 and the new remainder 13,and apply the division lemma to get

160 = 13 x 12 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 653 and 8329 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(160,13) = HCF(493,160) = HCF(653,493) = HCF(8329,653) .

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

Step 1: Since 7525 > 1, we apply the division lemma to 7525 and 1, to get

7525 = 1 x 7525 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7525 is 1

Notice that 1 = HCF(7525,1) .

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Frequently Asked Questions on HCF of 653, 8329, 7525 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 653, 8329, 7525?

Answer: HCF of 653, 8329, 7525 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 653, 8329, 7525 using Euclid's Algorithm?

Answer: For arbitrary numbers 653, 8329, 7525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.