Highest Common Factor of 216, 5133, 6260 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 216, 5133, 6260 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 216, 5133, 6260 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 216, 5133, 6260 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 216, 5133, 6260 is 1.

HCF(216, 5133, 6260) = 1

HCF of 216, 5133, 6260 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 216, 5133, 6260 is 1.

Highest Common Factor of 216,5133,6260 using Euclid's algorithm

Highest Common Factor of 216,5133,6260 is 1

Step 1: Since 5133 > 216, we apply the division lemma to 5133 and 216, to get

5133 = 216 x 23 + 165

Step 2: Since the reminder 216 ≠ 0, we apply division lemma to 165 and 216, to get

216 = 165 x 1 + 51

Step 3: We consider the new divisor 165 and the new remainder 51, and apply the division lemma to get

165 = 51 x 3 + 12

We consider the new divisor 51 and the new remainder 12,and apply the division lemma to get

51 = 12 x 4 + 3

We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get

12 = 3 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 216 and 5133 is 3

Notice that 3 = HCF(12,3) = HCF(51,12) = HCF(165,51) = HCF(216,165) = HCF(5133,216) .

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

Step 1: Since 6260 > 3, we apply the division lemma to 6260 and 3, to get

6260 = 3 x 2086 + 2

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

3 = 2 x 1 + 1

Step 3: 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 3 and 6260 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(6260,3) .

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Frequently Asked Questions on HCF of 216, 5133, 6260 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 216, 5133, 6260?

Answer: HCF of 216, 5133, 6260 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 216, 5133, 6260 using Euclid's Algorithm?

Answer: For arbitrary numbers 216, 5133, 6260 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.