Highest Common Factor of 7579, 9393, 60652 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 7579, 9393, 60652 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7579, 9393, 60652 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 7579, 9393, 60652 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 7579, 9393, 60652 is 1.

HCF(7579, 9393, 60652) = 1

HCF of 7579, 9393, 60652 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 7579, 9393, 60652 is 1.

Highest Common Factor of 7579,9393,60652 using Euclid's algorithm

Highest Common Factor of 7579,9393,60652 is 1

Step 1: Since 9393 > 7579, we apply the division lemma to 9393 and 7579, to get

9393 = 7579 x 1 + 1814

Step 2: Since the reminder 7579 ≠ 0, we apply division lemma to 1814 and 7579, to get

7579 = 1814 x 4 + 323

Step 3: We consider the new divisor 1814 and the new remainder 323, and apply the division lemma to get

1814 = 323 x 5 + 199

We consider the new divisor 323 and the new remainder 199,and apply the division lemma to get

323 = 199 x 1 + 124

We consider the new divisor 199 and the new remainder 124,and apply the division lemma to get

199 = 124 x 1 + 75

We consider the new divisor 124 and the new remainder 75,and apply the division lemma to get

124 = 75 x 1 + 49

We consider the new divisor 75 and the new remainder 49,and apply the division lemma to get

75 = 49 x 1 + 26

We consider the new divisor 49 and the new remainder 26,and apply the division lemma to get

49 = 26 x 1 + 23

We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 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 7579 and 9393 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(49,26) = HCF(75,49) = HCF(124,75) = HCF(199,124) = HCF(323,199) = HCF(1814,323) = HCF(7579,1814) = HCF(9393,7579) .

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

Step 1: Since 60652 > 1, we apply the division lemma to 60652 and 1, to get

60652 = 1 x 60652 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60652 is 1

Notice that 1 = HCF(60652,1) .

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Frequently Asked Questions on HCF of 7579, 9393, 60652 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 7579, 9393, 60652?

Answer: HCF of 7579, 9393, 60652 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7579, 9393, 60652 using Euclid's Algorithm?

Answer: For arbitrary numbers 7579, 9393, 60652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.