Highest Common Factor of 9311, 5374 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 9311, 5374 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9311, 5374 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 9311, 5374 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 9311, 5374 is 1.

HCF(9311, 5374) = 1

HCF of 9311, 5374 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 9311, 5374 is 1.

Highest Common Factor of 9311,5374 using Euclid's algorithm

Highest Common Factor of 9311,5374 is 1

Step 1: Since 9311 > 5374, we apply the division lemma to 9311 and 5374, to get

9311 = 5374 x 1 + 3937

Step 2: Since the reminder 5374 ≠ 0, we apply division lemma to 3937 and 5374, to get

5374 = 3937 x 1 + 1437

Step 3: We consider the new divisor 3937 and the new remainder 1437, and apply the division lemma to get

3937 = 1437 x 2 + 1063

We consider the new divisor 1437 and the new remainder 1063,and apply the division lemma to get

1437 = 1063 x 1 + 374

We consider the new divisor 1063 and the new remainder 374,and apply the division lemma to get

1063 = 374 x 2 + 315

We consider the new divisor 374 and the new remainder 315,and apply the division lemma to get

374 = 315 x 1 + 59

We consider the new divisor 315 and the new remainder 59,and apply the division lemma to get

315 = 59 x 5 + 20

We consider the new divisor 59 and the new remainder 20,and apply the division lemma to get

59 = 20 x 2 + 19

We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get

20 = 19 x 1 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9311 and 5374 is 1

Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(59,20) = HCF(315,59) = HCF(374,315) = HCF(1063,374) = HCF(1437,1063) = HCF(3937,1437) = HCF(5374,3937) = HCF(9311,5374) .

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Frequently Asked Questions on HCF of 9311, 5374 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 9311, 5374?

Answer: HCF of 9311, 5374 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9311, 5374 using Euclid's Algorithm?

Answer: For arbitrary numbers 9311, 5374 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.