Greatest Common Factor of 2530/28, 5978/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2530/28, 5978/176

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 2530/28,5978/176

Given fractions are 2530/28,5978/176

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 2530,5978

Greatest Common Factor of Numerators i.e. GCF of 2530,5978 is 2 .

LCM of Denominators means LCM of 28,176 as per the given fractions.

LCM of 28,176 is 1232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2530,5978

GCF of Fractions 2530/28,5978/176 is 2/1232

2 2530, 5978
1265, 2989

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

Greatest Common Factor of 2530,5978 By Matching Biggest Common Factor Method

Greatest Common Factor of 2530,5978 By Matching Biggest Common Factor Method

Factors of 2530

List of positive integer factors of 2530 that divides 2530 without a remainder.

1,2,5,10,11,22,23,46,55,110,115,230,253,506,1265,2530

Factors of 5978

List of positive integer factors of 5978 that divides 5978 without a remainder.

1,2,7,14,49,61,98,122,427,854,2989,5978

Greatest Common Factor

We found the factors 2530,5978 . The biggest common factor number is the GCF number.
So the greatest common factor 2530,5978 is 2.

Lets's calculate LCM of 28,176

2 28, 176
2 14, 88
7, 44

∴ So the LCM of the given numbers is 2 x 2 x 7 x 44 = 1232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1232

Therefore, the GCF of Fractions 2530/28,5978/176 is 2/1232

Least Common Multiple of 28,176 with GCF Formula

Least Common Multiple of 28,176 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 28,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,176) = 4

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

GCF(28,176) x common factors =4 x 1 = 4

LCM(28,176) = ( 28 × 176 ) / 4

LCM(28,176) = 4928 / 4

LCM(28,176) = 1232


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 2530/28, 5978/176

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 2530/28, 5978/176?

Answer: GCF of Numerators as per given numbers 2530/28, 5978/176 is

GCF of Numerators i.e. for 2530,5978 is 2

LCM of denominators i.e. for 28,176 is 1232.

Thus, GCF of Fractions is 2/1232.Finally, GCF of Fractions for 2530/28, 5978/176 is 2/1232.