Greatest Common Factor of 5278/812, 2426/2387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5278/812, 2426/2387

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5278/812,2426/2387

Given fractions are 5278/812,2426/2387

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5278,2426

Greatest Common Factor of Numerators i.e. GCF of 5278,2426 is 2 .

LCM of Denominators means LCM of 812,2387 as per the given fractions.

LCM of 812,2387 is 276892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5278,2426

GCF of Fractions 5278/812,2426/2387 is 2/276892

2 5278, 2426
2639, 1213

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5278,2426 By Matching Biggest Common Factor Method

Greatest Common Factor of 5278,2426 By Matching Biggest Common Factor Method

Factors of 5278

List of positive integer factors of 5278 that divides 5278 without a remainder.

1,2,7,13,14,26,29,58,91,182,203,377,406,754,2639,5278

Factors of 2426

List of positive integer factors of 2426 that divides 2426 without a remainder.

1,2,1213,2426

Greatest Common Factor

We found the factors 5278,2426 . The biggest common factor number is the GCF number.
So the greatest common factor 5278,2426 is 2.

Lets's calculate LCM of 812,2387

7 812, 2387
116, 341

∴ So the LCM of the given numbers is 7 x 116 x 341 = 276892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/276892

Therefore, the GCF of Fractions 5278/812,2426/2387 is 2/276892

Least Common Multiple of 812,2387 with GCF Formula

Least Common Multiple of 812,2387 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 812,2387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,2387) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(812,2387) x common factors =7 x 1 = 7

LCM(812,2387) = ( 812 × 2387 ) / 7

LCM(812,2387) = 1938244 / 7

LCM(812,2387) = 276892


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5278/812, 2426/2387

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5278/812, 2426/2387?

Answer: GCF of Numerators as per given numbers 5278/812, 2426/2387 is

GCF of Numerators i.e. for 5278,2426 is 2

LCM of denominators i.e. for 812,2387 is 276892.

Thus, GCF of Fractions is 2/276892.Finally, GCF of Fractions for 5278/812, 2426/2387 is 2/276892.