Highest Common Factor of 9543, 6011 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 9543, 6011 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9543, 6011 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 9543, 6011 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 9543, 6011 is 1.

HCF(9543, 6011) = 1

HCF of 9543, 6011 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 9543, 6011 is 1.

Highest Common Factor of 9543,6011 using Euclid's algorithm

Highest Common Factor of 9543,6011 is 1

Step 1: Since 9543 > 6011, we apply the division lemma to 9543 and 6011, to get

9543 = 6011 x 1 + 3532

Step 2: Since the reminder 6011 ≠ 0, we apply division lemma to 3532 and 6011, to get

6011 = 3532 x 1 + 2479

Step 3: We consider the new divisor 3532 and the new remainder 2479, and apply the division lemma to get

3532 = 2479 x 1 + 1053

We consider the new divisor 2479 and the new remainder 1053,and apply the division lemma to get

2479 = 1053 x 2 + 373

We consider the new divisor 1053 and the new remainder 373,and apply the division lemma to get

1053 = 373 x 2 + 307

We consider the new divisor 373 and the new remainder 307,and apply the division lemma to get

373 = 307 x 1 + 66

We consider the new divisor 307 and the new remainder 66,and apply the division lemma to get

307 = 66 x 4 + 43

We consider the new divisor 66 and the new remainder 43,and apply the division lemma to get

66 = 43 x 1 + 23

We consider the new divisor 43 and the new remainder 23,and apply the division lemma to get

43 = 23 x 1 + 20

We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get

23 = 20 x 1 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 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 9543 and 6011 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(43,23) = HCF(66,43) = HCF(307,66) = HCF(373,307) = HCF(1053,373) = HCF(2479,1053) = HCF(3532,2479) = HCF(6011,3532) = HCF(9543,6011) .

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Frequently Asked Questions on HCF of 9543, 6011 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 9543, 6011?

Answer: HCF of 9543, 6011 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9543, 6011 using Euclid's Algorithm?

Answer: For arbitrary numbers 9543, 6011 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.