Greatest Common Factor of 5300/308, 7710/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5300/308, 7710/140

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 5300/308,7710/140

Given fractions are 5300/308,7710/140

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 5300,7710

Greatest Common Factor of Numerators i.e. GCF of 5300,7710 is 10 .

LCM of Denominators means LCM of 308,140 as per the given fractions.

LCM of 308,140 is 1540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5300,7710

GCF of Fractions 5300/308,7710/140 is 10/1540

2 5300, 7710
5 2650, 3855
530, 771

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 5300,7710 By Matching Biggest Common Factor Method

Greatest Common Factor of 5300,7710 By Matching Biggest Common Factor Method

Factors of 5300

List of positive integer factors of 5300 that divides 5300 without a remainder.

1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300

Factors of 7710

List of positive integer factors of 7710 that divides 7710 without a remainder.

1,2,3,5,6,10,15,30,257,514,771,1285,1542,2570,3855,7710

Greatest Common Factor

We found the factors 5300,7710 . The biggest common factor number is the GCF number.
So the greatest common factor 5300,7710 is 10.

Lets's calculate LCM of 308,140

2 308, 140
2 154, 70
7 77, 35
11, 5

∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 5 = 1540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1540

Therefore, the GCF of Fractions 5300/308,7710/140 is 10/1540

Least Common Multiple of 308,140 with GCF Formula

Least Common Multiple of 308,140 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 308,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,140) = 28

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

GCF(308,140) x common factors =28 x 1 = 28

LCM(308,140) = ( 308 × 140 ) / 28

LCM(308,140) = 43120 / 28

LCM(308,140) = 1540


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 5300/308, 7710/140

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 5300/308, 7710/140?

Answer: GCF of Numerators as per given numbers 5300/308, 7710/140 is

GCF of Numerators i.e. for 5300,7710 is 10

LCM of denominators i.e. for 308,140 is 1540.

Thus, GCF of Fractions is 10/1540.Finally, GCF of Fractions for 5300/308, 7710/140 is 10/1540.