Highest Common Factor of 9141, 5141 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 9141, 5141 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9141, 5141 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 9141, 5141 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 9141, 5141 is 1.

HCF(9141, 5141) = 1

HCF of 9141, 5141 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 9141, 5141 is 1.

Highest Common Factor of 9141,5141 using Euclid's algorithm

Highest Common Factor of 9141,5141 is 1

Step 1: Since 9141 > 5141, we apply the division lemma to 9141 and 5141, to get

9141 = 5141 x 1 + 4000

Step 2: Since the reminder 5141 ≠ 0, we apply division lemma to 4000 and 5141, to get

5141 = 4000 x 1 + 1141

Step 3: We consider the new divisor 4000 and the new remainder 1141, and apply the division lemma to get

4000 = 1141 x 3 + 577

We consider the new divisor 1141 and the new remainder 577,and apply the division lemma to get

1141 = 577 x 1 + 564

We consider the new divisor 577 and the new remainder 564,and apply the division lemma to get

577 = 564 x 1 + 13

We consider the new divisor 564 and the new remainder 13,and apply the division lemma to get

564 = 13 x 43 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 9141 and 5141 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(564,13) = HCF(577,564) = HCF(1141,577) = HCF(4000,1141) = HCF(5141,4000) = HCF(9141,5141) .

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Frequently Asked Questions on HCF of 9141, 5141 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 9141, 5141?

Answer: HCF of 9141, 5141 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9141, 5141 using Euclid's Algorithm?

Answer: For arbitrary numbers 9141, 5141 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.