Greatest Common Factor of 55/560, 75/631, 748/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/560, 75/631, 748/309

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 55/560,75/631,748/309

Given fractions are 55/560,75/631,748/309

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 55,75,748

Greatest Common Factor of Numerators i.e. GCF of 55,75,748 is 1 .

LCM of Denominators means LCM of 560,631,309 as per the given fractions.

LCM of 560,631,309 is 109188240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,75,748

GCF of Fractions 55/560,75/631,748/309 is 1/109188240

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 55,75,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,75,748 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 55,75,748 . The biggest common factor number is the GCF number.
So the greatest common factor 55,75,748 is 1.

Lets's calculate LCM of 560,631,309

Given numbers has no common factors except 1. So, there LCM is their product i.e 109188240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109188240

Therefore, the GCF of Fractions 55/560,75/631,748/309 is 1/109188240

Least Common Multiple of 560,631,309 with GCF Formula

Least Common Multiple of 560,631,309 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 560,631,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,631,309) = 1

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

GCF(560,631,309) x common factors =1 x 1 = 1

LCM(560,631,309) = ( 560 × 631 × 309 ) / 1

LCM(560,631,309) = 109188240 / 1

LCM(560,631,309) = 109188240


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 55/560, 75/631, 748/309

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 55/560, 75/631, 748/309?

Answer: GCF of Numerators as per given numbers 55/560, 75/631, 748/309 is

GCF of Numerators i.e. for 55,75,748 is 1

LCM of denominators i.e. for 560,631,309 is 109188240.

Thus, GCF of Fractions is 1/109188240.Finally, GCF of Fractions for 55/560, 75/631, 748/309 is 1/109188240.