Greatest Common Factor of 5230/746, 2678/1108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5230/746, 2678/1108

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 5230/746,2678/1108

Given fractions are 5230/746,2678/1108

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 5230,2678

Greatest Common Factor of Numerators i.e. GCF of 5230,2678 is 2 .

LCM of Denominators means LCM of 746,1108 as per the given fractions.

LCM of 746,1108 is 413284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5230,2678

GCF of Fractions 5230/746,2678/1108 is 2/413284

2 5230, 2678
2615, 1339

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

Greatest Common Factor of 5230,2678 By Matching Biggest Common Factor Method

Greatest Common Factor of 5230,2678 By Matching Biggest Common Factor Method

Factors of 5230

List of positive integer factors of 5230 that divides 5230 without a remainder.

1,2,5,10,523,1046,2615,5230

Factors of 2678

List of positive integer factors of 2678 that divides 2678 without a remainder.

1,2,13,26,103,206,1339,2678

Greatest Common Factor

We found the factors 5230,2678 . The biggest common factor number is the GCF number.
So the greatest common factor 5230,2678 is 2.

Lets's calculate LCM of 746,1108

2 746, 1108
373, 554

∴ So the LCM of the given numbers is 2 x 373 x 554 = 413284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/413284

Therefore, the GCF of Fractions 5230/746,2678/1108 is 2/413284

Least Common Multiple of 746,1108 with GCF Formula

Least Common Multiple of 746,1108 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 746,1108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,1108) = 2

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

GCF(746,1108) x common factors =2 x 1 = 2

LCM(746,1108) = ( 746 × 1108 ) / 2

LCM(746,1108) = 826568 / 2

LCM(746,1108) = 413284


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 5230/746, 2678/1108

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 5230/746, 2678/1108?

Answer: GCF of Numerators as per given numbers 5230/746, 2678/1108 is

GCF of Numerators i.e. for 5230,2678 is 2

LCM of denominators i.e. for 746,1108 is 413284.

Thus, GCF of Fractions is 2/413284.Finally, GCF of Fractions for 5230/746, 2678/1108 is 2/413284.