Highest Common Factor of 8451, 9358 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 8451, 9358 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8451, 9358 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 8451, 9358 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 8451, 9358 is 1.

HCF(8451, 9358) = 1

HCF of 8451, 9358 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 8451, 9358 is 1.

Highest Common Factor of 8451,9358 using Euclid's algorithm

Highest Common Factor of 8451,9358 is 1

Step 1: Since 9358 > 8451, we apply the division lemma to 9358 and 8451, to get

9358 = 8451 x 1 + 907

Step 2: Since the reminder 8451 ≠ 0, we apply division lemma to 907 and 8451, to get

8451 = 907 x 9 + 288

Step 3: We consider the new divisor 907 and the new remainder 288, and apply the division lemma to get

907 = 288 x 3 + 43

We consider the new divisor 288 and the new remainder 43,and apply the division lemma to get

288 = 43 x 6 + 30

We consider the new divisor 43 and the new remainder 30,and apply the division lemma to get

43 = 30 x 1 + 13

We consider the new divisor 30 and the new remainder 13,and apply the division lemma to get

30 = 13 x 2 + 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 8451 and 9358 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(30,13) = HCF(43,30) = HCF(288,43) = HCF(907,288) = HCF(8451,907) = HCF(9358,8451) .

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Frequently Asked Questions on HCF of 8451, 9358 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 8451, 9358?

Answer: HCF of 8451, 9358 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8451, 9358 using Euclid's Algorithm?

Answer: For arbitrary numbers 8451, 9358 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.