Greatest Common Factor of 7710/133, 2662/2290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7710/133, 2662/2290

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 7710/133,2662/2290

Given fractions are 7710/133,2662/2290

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 7710,2662

Greatest Common Factor of Numerators i.e. GCF of 7710,2662 is 2 .

LCM of Denominators means LCM of 133,2290 as per the given fractions.

LCM of 133,2290 is 304570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7710,2662

GCF of Fractions 7710/133,2662/2290 is 2/304570

2 7710, 2662
3855, 1331

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

Greatest Common Factor of 7710,2662 By Matching Biggest Common Factor Method

Greatest Common Factor of 7710,2662 By Matching Biggest Common Factor Method

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

Factors of 2662

List of positive integer factors of 2662 that divides 2662 without a remainder.

1,2,11,22,121,242,1331,2662

Greatest Common Factor

We found the factors 7710,2662 . The biggest common factor number is the GCF number.
So the greatest common factor 7710,2662 is 2.

Lets's calculate LCM of 133,2290

Given numbers has no common factors except 1. So, there LCM is their product i.e 304570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/304570

Therefore, the GCF of Fractions 7710/133,2662/2290 is 2/304570

Least Common Multiple of 133,2290 with GCF Formula

Least Common Multiple of 133,2290 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 133,2290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,2290) = 1

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

GCF(133,2290) x common factors =1 x 1 = 1

LCM(133,2290) = ( 133 × 2290 ) / 1

LCM(133,2290) = 304570 / 1

LCM(133,2290) = 304570


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 7710/133, 2662/2290

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 7710/133, 2662/2290?

Answer: GCF of Numerators as per given numbers 7710/133, 2662/2290 is

GCF of Numerators i.e. for 7710,2662 is 2

LCM of denominators i.e. for 133,2290 is 304570.

Thus, GCF of Fractions is 2/304570.Finally, GCF of Fractions for 7710/133, 2662/2290 is 2/304570.