Highest Common Factor of 9428, 7341 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 9428, 7341 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9428, 7341 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 9428, 7341 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 9428, 7341 is 1.

HCF(9428, 7341) = 1

HCF of 9428, 7341 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 9428, 7341 is 1.

Highest Common Factor of 9428,7341 using Euclid's algorithm

Highest Common Factor of 9428,7341 is 1

Step 1: Since 9428 > 7341, we apply the division lemma to 9428 and 7341, to get

9428 = 7341 x 1 + 2087

Step 2: Since the reminder 7341 ≠ 0, we apply division lemma to 2087 and 7341, to get

7341 = 2087 x 3 + 1080

Step 3: We consider the new divisor 2087 and the new remainder 1080, and apply the division lemma to get

2087 = 1080 x 1 + 1007

We consider the new divisor 1080 and the new remainder 1007,and apply the division lemma to get

1080 = 1007 x 1 + 73

We consider the new divisor 1007 and the new remainder 73,and apply the division lemma to get

1007 = 73 x 13 + 58

We consider the new divisor 73 and the new remainder 58,and apply the division lemma to get

73 = 58 x 1 + 15

We consider the new divisor 58 and the new remainder 15,and apply the division lemma to get

58 = 15 x 3 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 9428 and 7341 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(58,15) = HCF(73,58) = HCF(1007,73) = HCF(1080,1007) = HCF(2087,1080) = HCF(7341,2087) = HCF(9428,7341) .

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Frequently Asked Questions on HCF of 9428, 7341 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 9428, 7341?

Answer: HCF of 9428, 7341 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9428, 7341 using Euclid's Algorithm?

Answer: For arbitrary numbers 9428, 7341 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.