Highest Common Factor of 3931, 9083, 53736 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 3931, 9083, 53736 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3931, 9083, 53736 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 3931, 9083, 53736 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 3931, 9083, 53736 is 1.

HCF(3931, 9083, 53736) = 1

HCF of 3931, 9083, 53736 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 3931, 9083, 53736 is 1.

Highest Common Factor of 3931,9083,53736 using Euclid's algorithm

Highest Common Factor of 3931,9083,53736 is 1

Step 1: Since 9083 > 3931, we apply the division lemma to 9083 and 3931, to get

9083 = 3931 x 2 + 1221

Step 2: Since the reminder 3931 ≠ 0, we apply division lemma to 1221 and 3931, to get

3931 = 1221 x 3 + 268

Step 3: We consider the new divisor 1221 and the new remainder 268, and apply the division lemma to get

1221 = 268 x 4 + 149

We consider the new divisor 268 and the new remainder 149,and apply the division lemma to get

268 = 149 x 1 + 119

We consider the new divisor 149 and the new remainder 119,and apply the division lemma to get

149 = 119 x 1 + 30

We consider the new divisor 119 and the new remainder 30,and apply the division lemma to get

119 = 30 x 3 + 29

We consider the new divisor 30 and the new remainder 29,and apply the division lemma to get

30 = 29 x 1 + 1

We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get

29 = 1 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3931 and 9083 is 1

Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(119,30) = HCF(149,119) = HCF(268,149) = HCF(1221,268) = HCF(3931,1221) = HCF(9083,3931) .

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

Step 1: Since 53736 > 1, we apply the division lemma to 53736 and 1, to get

53736 = 1 x 53736 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 53736 is 1

Notice that 1 = HCF(53736,1) .

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Frequently Asked Questions on HCF of 3931, 9083, 53736 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 3931, 9083, 53736?

Answer: HCF of 3931, 9083, 53736 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3931, 9083, 53736 using Euclid's Algorithm?

Answer: For arbitrary numbers 3931, 9083, 53736 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.