Highest Common Factor of 9119, 7371 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 9119, 7371 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9119, 7371 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 9119, 7371 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 9119, 7371 is 1.

HCF(9119, 7371) = 1

HCF of 9119, 7371 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 9119, 7371 is 1.

Highest Common Factor of 9119,7371 using Euclid's algorithm

Highest Common Factor of 9119,7371 is 1

Step 1: Since 9119 > 7371, we apply the division lemma to 9119 and 7371, to get

9119 = 7371 x 1 + 1748

Step 2: Since the reminder 7371 ≠ 0, we apply division lemma to 1748 and 7371, to get

7371 = 1748 x 4 + 379

Step 3: We consider the new divisor 1748 and the new remainder 379, and apply the division lemma to get

1748 = 379 x 4 + 232

We consider the new divisor 379 and the new remainder 232,and apply the division lemma to get

379 = 232 x 1 + 147

We consider the new divisor 232 and the new remainder 147,and apply the division lemma to get

232 = 147 x 1 + 85

We consider the new divisor 147 and the new remainder 85,and apply the division lemma to get

147 = 85 x 1 + 62

We consider the new divisor 85 and the new remainder 62,and apply the division lemma to get

85 = 62 x 1 + 23

We consider the new divisor 62 and the new remainder 23,and apply the division lemma to get

62 = 23 x 2 + 16

We consider the new divisor 23 and the new remainder 16,and apply the division lemma to get

23 = 16 x 1 + 7

We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get

16 = 7 x 2 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 9119 and 7371 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(23,16) = HCF(62,23) = HCF(85,62) = HCF(147,85) = HCF(232,147) = HCF(379,232) = HCF(1748,379) = HCF(7371,1748) = HCF(9119,7371) .

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Frequently Asked Questions on HCF of 9119, 7371 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 9119, 7371?

Answer: HCF of 9119, 7371 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9119, 7371 using Euclid's Algorithm?

Answer: For arbitrary numbers 9119, 7371 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.