Greatest Common Factor of 3140/13, 9115/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3140/13, 9115/240

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 3140/13,9115/240

Given fractions are 3140/13,9115/240

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 3140,9115

Greatest Common Factor of Numerators i.e. GCF of 3140,9115 is 5 .

LCM of Denominators means LCM of 13,240 as per the given fractions.

LCM of 13,240 is 3120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3140,9115

GCF of Fractions 3140/13,9115/240 is 5/3120

5 3140, 9115
628, 1823

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3140,9115 By Matching Biggest Common Factor Method

Greatest Common Factor of 3140,9115 By Matching Biggest Common Factor Method

Factors of 3140

List of positive integer factors of 3140 that divides 3140 without a remainder.

1,2,4,5,10,20,157,314,628,785,1570,3140

Factors of 9115

List of positive integer factors of 9115 that divides 9115 without a remainder.

1,5,1823,9115

Greatest Common Factor

We found the factors 3140,9115 . The biggest common factor number is the GCF number.
So the greatest common factor 3140,9115 is 5.

Lets's calculate LCM of 13,240

Given numbers has no common factors except 1. So, there LCM is their product i.e 3120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3120

Therefore, the GCF of Fractions 3140/13,9115/240 is 5/3120

Least Common Multiple of 13,240 with GCF Formula

Least Common Multiple of 13,240 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 13,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,240) = 1

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

GCF(13,240) x common factors =1 x 1 = 1

LCM(13,240) = ( 13 × 240 ) / 1

LCM(13,240) = 3120 / 1

LCM(13,240) = 3120


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 3140/13, 9115/240

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 3140/13, 9115/240?

Answer: GCF of Numerators as per given numbers 3140/13, 9115/240 is

GCF of Numerators i.e. for 3140,9115 is 5

LCM of denominators i.e. for 13,240 is 3120.

Thus, GCF of Fractions is 5/3120.Finally, GCF of Fractions for 3140/13, 9115/240 is 5/3120.