Greatest Common Factor of 2710/240, 6718/9380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2710/240, 6718/9380

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 2710/240,6718/9380

Given fractions are 2710/240,6718/9380

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 2710,6718

Greatest Common Factor of Numerators i.e. GCF of 2710,6718 is 2 .

LCM of Denominators means LCM of 240,9380 as per the given fractions.

LCM of 240,9380 is 112560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2710,6718

GCF of Fractions 2710/240,6718/9380 is 2/112560

2 2710, 6718
1355, 3359

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

Greatest Common Factor of 2710,6718 By Matching Biggest Common Factor Method

Greatest Common Factor of 2710,6718 By Matching Biggest Common Factor Method

Factors of 2710

List of positive integer factors of 2710 that divides 2710 without a remainder.

1,2,5,10,271,542,1355,2710

Factors of 6718

List of positive integer factors of 6718 that divides 6718 without a remainder.

1,2,3359,6718

Greatest Common Factor

We found the factors 2710,6718 . The biggest common factor number is the GCF number.
So the greatest common factor 2710,6718 is 2.

Lets's calculate LCM of 240,9380

2 240, 9380
2 120, 4690
5 60, 2345
12, 469

∴ So the LCM of the given numbers is 2 x 2 x 5 x 12 x 469 = 112560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/112560

Therefore, the GCF of Fractions 2710/240,6718/9380 is 2/112560

Least Common Multiple of 240,9380 with GCF Formula

Least Common Multiple of 240,9380 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 240,9380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,9380) = 20

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

GCF(240,9380) x common factors =20 x 1 = 20

LCM(240,9380) = ( 240 × 9380 ) / 20

LCM(240,9380) = 2251200 / 20

LCM(240,9380) = 112560


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 2710/240, 6718/9380

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 2710/240, 6718/9380?

Answer: GCF of Numerators as per given numbers 2710/240, 6718/9380 is

GCF of Numerators i.e. for 2710,6718 is 2

LCM of denominators i.e. for 240,9380 is 112560.

Thus, GCF of Fractions is 2/112560.Finally, GCF of Fractions for 2710/240, 6718/9380 is 2/112560.