Highest Common Factor of 2811, 9261, 47236 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 2811, 9261, 47236 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2811, 9261, 47236 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 2811, 9261, 47236 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 2811, 9261, 47236 is 1.

HCF(2811, 9261, 47236) = 1

HCF of 2811, 9261, 47236 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 2811, 9261, 47236 is 1.

Highest Common Factor of 2811,9261,47236 using Euclid's algorithm

Highest Common Factor of 2811,9261,47236 is 1

Step 1: Since 9261 > 2811, we apply the division lemma to 9261 and 2811, to get

9261 = 2811 x 3 + 828

Step 2: Since the reminder 2811 ≠ 0, we apply division lemma to 828 and 2811, to get

2811 = 828 x 3 + 327

Step 3: We consider the new divisor 828 and the new remainder 327, and apply the division lemma to get

828 = 327 x 2 + 174

We consider the new divisor 327 and the new remainder 174,and apply the division lemma to get

327 = 174 x 1 + 153

We consider the new divisor 174 and the new remainder 153,and apply the division lemma to get

174 = 153 x 1 + 21

We consider the new divisor 153 and the new remainder 21,and apply the division lemma to get

153 = 21 x 7 + 6

We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get

21 = 6 x 3 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2811 and 9261 is 3

Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(153,21) = HCF(174,153) = HCF(327,174) = HCF(828,327) = HCF(2811,828) = HCF(9261,2811) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 47236 > 3, we apply the division lemma to 47236 and 3, to get

47236 = 3 x 15745 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 47236 is 1

Notice that 1 = HCF(3,1) = HCF(47236,3) .

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Frequently Asked Questions on HCF of 2811, 9261, 47236 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 2811, 9261, 47236?

Answer: HCF of 2811, 9261, 47236 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2811, 9261, 47236 using Euclid's Algorithm?

Answer: For arbitrary numbers 2811, 9261, 47236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.