Highest Common Factor of 9301, 7453, 25767 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 9301, 7453, 25767 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9301, 7453, 25767 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 9301, 7453, 25767 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 9301, 7453, 25767 is 1.

HCF(9301, 7453, 25767) = 1

HCF of 9301, 7453, 25767 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 9301, 7453, 25767 is 1.

Highest Common Factor of 9301,7453,25767 using Euclid's algorithm

Highest Common Factor of 9301,7453,25767 is 1

Step 1: Since 9301 > 7453, we apply the division lemma to 9301 and 7453, to get

9301 = 7453 x 1 + 1848

Step 2: Since the reminder 7453 ≠ 0, we apply division lemma to 1848 and 7453, to get

7453 = 1848 x 4 + 61

Step 3: We consider the new divisor 1848 and the new remainder 61, and apply the division lemma to get

1848 = 61 x 30 + 18

We consider the new divisor 61 and the new remainder 18,and apply the division lemma to get

61 = 18 x 3 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

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

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9301 and 7453 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(61,18) = HCF(1848,61) = HCF(7453,1848) = HCF(9301,7453) .

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

Step 1: Since 25767 > 1, we apply the division lemma to 25767 and 1, to get

25767 = 1 x 25767 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 25767 is 1

Notice that 1 = HCF(25767,1) .

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Frequently Asked Questions on HCF of 9301, 7453, 25767 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 9301, 7453, 25767?

Answer: HCF of 9301, 7453, 25767 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9301, 7453, 25767 using Euclid's Algorithm?

Answer: For arbitrary numbers 9301, 7453, 25767 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.