Greatest Common Factor of 135/40, 5070/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 135/40, 5070/304

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 135/40,5070/304

Given fractions are 135/40,5070/304

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 135,5070

Greatest Common Factor of Numerators i.e. GCF of 135,5070 is 15 .

LCM of Denominators means LCM of 40,304 as per the given fractions.

LCM of 40,304 is 1520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 135,5070

GCF of Fractions 135/40,5070/304 is 15/1520

3 135, 5070
5 45, 1690
9, 338

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 135,5070 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,5070 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 5070

List of positive integer factors of 5070 that divides 5070 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070

Greatest Common Factor

We found the factors 135,5070 . The biggest common factor number is the GCF number.
So the greatest common factor 135,5070 is 15.

Lets's calculate LCM of 40,304

2 40, 304
2 20, 152
2 10, 76
5, 38

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 38 = 1520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1520

Therefore, the GCF of Fractions 135/40,5070/304 is 15/1520

Least Common Multiple of 40,304 with GCF Formula

Least Common Multiple of 40,304 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 40,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,304) = 8

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

GCF(40,304) x common factors =8 x 1 = 8

LCM(40,304) = ( 40 × 304 ) / 8

LCM(40,304) = 12160 / 8

LCM(40,304) = 1520


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 135/40, 5070/304

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 135/40, 5070/304?

Answer: GCF of Numerators as per given numbers 135/40, 5070/304 is

GCF of Numerators i.e. for 135,5070 is 15

LCM of denominators i.e. for 40,304 is 1520.

Thus, GCF of Fractions is 15/1520.Finally, GCF of Fractions for 135/40, 5070/304 is 15/1520.