Greatest Common Factor of 132/35, 5140/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 132/35, 5140/680

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 132/35,5140/680

Given fractions are 132/35,5140/680

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 132,5140

Greatest Common Factor of Numerators i.e. GCF of 132,5140 is 4 .

LCM of Denominators means LCM of 35,680 as per the given fractions.

LCM of 35,680 is 4760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 132,5140

GCF of Fractions 132/35,5140/680 is 4/4760

2 132, 5140
2 66, 2570
33, 1285

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 132,5140 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,5140 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 5140

List of positive integer factors of 5140 that divides 5140 without a remainder.

1,2,4,5,10,20,257,514,1028,1285,2570,5140

Greatest Common Factor

We found the factors 132,5140 . The biggest common factor number is the GCF number.
So the greatest common factor 132,5140 is 4.

Lets's calculate LCM of 35,680

5 35, 680
7, 136

∴ So the LCM of the given numbers is 5 x 7 x 136 = 4760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4760

Therefore, the GCF of Fractions 132/35,5140/680 is 4/4760

Least Common Multiple of 35,680 with GCF Formula

Least Common Multiple of 35,680 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 35,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,680) = 5

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

GCF(35,680) x common factors =5 x 1 = 5

LCM(35,680) = ( 35 × 680 ) / 5

LCM(35,680) = 23800 / 5

LCM(35,680) = 4760


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 132/35, 5140/680

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 132/35, 5140/680?

Answer: GCF of Numerators as per given numbers 132/35, 5140/680 is

GCF of Numerators i.e. for 132,5140 is 4

LCM of denominators i.e. for 35,680 is 4760.

Thus, GCF of Fractions is 4/4760.Finally, GCF of Fractions for 132/35, 5140/680 is 4/4760.