Greatest Common Factor of 7318/631, 3040/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7318/631, 3040/155

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 7318/631,3040/155

Given fractions are 7318/631,3040/155

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 7318,3040

Greatest Common Factor of Numerators i.e. GCF of 7318,3040 is 2 .

LCM of Denominators means LCM of 631,155 as per the given fractions.

LCM of 631,155 is 97805 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7318,3040

GCF of Fractions 7318/631,3040/155 is 2/97805

2 7318, 3040
3659, 1520

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

Greatest Common Factor of 7318,3040 By Matching Biggest Common Factor Method

Greatest Common Factor of 7318,3040 By Matching Biggest Common Factor Method

Factors of 7318

List of positive integer factors of 7318 that divides 7318 without a remainder.

1,2,3659,7318

Factors of 3040

List of positive integer factors of 3040 that divides 3040 without a remainder.

1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040

Greatest Common Factor

We found the factors 7318,3040 . The biggest common factor number is the GCF number.
So the greatest common factor 7318,3040 is 2.

Lets's calculate LCM of 631,155

Given numbers has no common factors except 1. So, there LCM is their product i.e 97805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/97805

Therefore, the GCF of Fractions 7318/631,3040/155 is 2/97805

Least Common Multiple of 631,155 with GCF Formula

Least Common Multiple of 631,155 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 631,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(631,155) = 1

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

GCF(631,155) x common factors =1 x 1 = 1

LCM(631,155) = ( 631 × 155 ) / 1

LCM(631,155) = 97805 / 1

LCM(631,155) = 97805


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 7318/631, 3040/155

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 7318/631, 3040/155?

Answer: GCF of Numerators as per given numbers 7318/631, 3040/155 is

GCF of Numerators i.e. for 7318,3040 is 2

LCM of denominators i.e. for 631,155 is 97805.

Thus, GCF of Fractions is 2/97805.Finally, GCF of Fractions for 7318/631, 3040/155 is 2/97805.