Highest Common Factor of 9258, 7541, 65449 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 9258, 7541, 65449 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9258, 7541, 65449 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 9258, 7541, 65449 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 9258, 7541, 65449 is 1.

HCF(9258, 7541, 65449) = 1

HCF of 9258, 7541, 65449 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 9258, 7541, 65449 is 1.

Highest Common Factor of 9258,7541,65449 using Euclid's algorithm

Highest Common Factor of 9258,7541,65449 is 1

Step 1: Since 9258 > 7541, we apply the division lemma to 9258 and 7541, to get

9258 = 7541 x 1 + 1717

Step 2: Since the reminder 7541 ≠ 0, we apply division lemma to 1717 and 7541, to get

7541 = 1717 x 4 + 673

Step 3: We consider the new divisor 1717 and the new remainder 673, and apply the division lemma to get

1717 = 673 x 2 + 371

We consider the new divisor 673 and the new remainder 371,and apply the division lemma to get

673 = 371 x 1 + 302

We consider the new divisor 371 and the new remainder 302,and apply the division lemma to get

371 = 302 x 1 + 69

We consider the new divisor 302 and the new remainder 69,and apply the division lemma to get

302 = 69 x 4 + 26

We consider the new divisor 69 and the new remainder 26,and apply the division lemma to get

69 = 26 x 2 + 17

We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get

26 = 17 x 1 + 9

We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get

17 = 9 x 1 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9258 and 7541 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(69,26) = HCF(302,69) = HCF(371,302) = HCF(673,371) = HCF(1717,673) = HCF(7541,1717) = HCF(9258,7541) .


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

Step 1: Since 65449 > 1, we apply the division lemma to 65449 and 1, to get

65449 = 1 x 65449 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 65449 is 1

Notice that 1 = HCF(65449,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 9258, 7541, 65449 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 9258, 7541, 65449?

Answer: HCF of 9258, 7541, 65449 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9258, 7541, 65449 using Euclid's Algorithm?

Answer: For arbitrary numbers 9258, 7541, 65449 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.