Highest Common Factor of 2668, 5058, 12491 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 2668, 5058, 12491 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2668, 5058, 12491 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 2668, 5058, 12491 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 2668, 5058, 12491 is 1.

HCF(2668, 5058, 12491) = 1

HCF of 2668, 5058, 12491 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 2668, 5058, 12491 is 1.

Highest Common Factor of 2668,5058,12491 using Euclid's algorithm

Highest Common Factor of 2668,5058,12491 is 1

Step 1: Since 5058 > 2668, we apply the division lemma to 5058 and 2668, to get

5058 = 2668 x 1 + 2390

Step 2: Since the reminder 2668 ≠ 0, we apply division lemma to 2390 and 2668, to get

2668 = 2390 x 1 + 278

Step 3: We consider the new divisor 2390 and the new remainder 278, and apply the division lemma to get

2390 = 278 x 8 + 166

We consider the new divisor 278 and the new remainder 166,and apply the division lemma to get

278 = 166 x 1 + 112

We consider the new divisor 166 and the new remainder 112,and apply the division lemma to get

166 = 112 x 1 + 54

We consider the new divisor 112 and the new remainder 54,and apply the division lemma to get

112 = 54 x 2 + 4

We consider the new divisor 54 and the new remainder 4,and apply the division lemma to get

54 = 4 x 13 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2668 and 5058 is 2

Notice that 2 = HCF(4,2) = HCF(54,4) = HCF(112,54) = HCF(166,112) = HCF(278,166) = HCF(2390,278) = HCF(2668,2390) = HCF(5058,2668) .

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

Step 1: Since 12491 > 2, we apply the division lemma to 12491 and 2, to get

12491 = 2 x 6245 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 12491 is 1

Notice that 1 = HCF(2,1) = HCF(12491,2) .

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Frequently Asked Questions on HCF of 2668, 5058, 12491 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 2668, 5058, 12491?

Answer: HCF of 2668, 5058, 12491 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2668, 5058, 12491 using Euclid's Algorithm?

Answer: For arbitrary numbers 2668, 5058, 12491 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.