Highest Common Factor of 9258, 6677 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, 6677 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9258, 6677 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, 6677 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, 6677 is 1.

HCF(9258, 6677) = 1

HCF of 9258, 6677 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, 6677 is 1.

Highest Common Factor of 9258,6677 using Euclid's algorithm

Highest Common Factor of 9258,6677 is 1

Step 1: Since 9258 > 6677, we apply the division lemma to 9258 and 6677, to get

9258 = 6677 x 1 + 2581

Step 2: Since the reminder 6677 ≠ 0, we apply division lemma to 2581 and 6677, to get

6677 = 2581 x 2 + 1515

Step 3: We consider the new divisor 2581 and the new remainder 1515, and apply the division lemma to get

2581 = 1515 x 1 + 1066

We consider the new divisor 1515 and the new remainder 1066,and apply the division lemma to get

1515 = 1066 x 1 + 449

We consider the new divisor 1066 and the new remainder 449,and apply the division lemma to get

1066 = 449 x 2 + 168

We consider the new divisor 449 and the new remainder 168,and apply the division lemma to get

449 = 168 x 2 + 113

We consider the new divisor 168 and the new remainder 113,and apply the division lemma to get

168 = 113 x 1 + 55

We consider the new divisor 113 and the new remainder 55,and apply the division lemma to get

113 = 55 x 2 + 3

We consider the new divisor 55 and the new remainder 3,and apply the division lemma to get

55 = 3 x 18 + 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 9258 and 6677 is 1

Notice that 1 = HCF(3,1) = HCF(55,3) = HCF(113,55) = HCF(168,113) = HCF(449,168) = HCF(1066,449) = HCF(1515,1066) = HCF(2581,1515) = HCF(6677,2581) = HCF(9258,6677) .

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Frequently Asked Questions on HCF of 9258, 6677 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, 6677?

Answer: HCF of 9258, 6677 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9258, 6677 using Euclid's Algorithm?

Answer: For arbitrary numbers 9258, 6677 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.