Greatest Common Factor of 60/305, 657/335, 303/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/305, 657/335, 303/871

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 60/305,657/335,303/871

Given fractions are 60/305,657/335,303/871

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 60,657,303

Greatest Common Factor of Numerators i.e. GCF of 60,657,303 is 3 .

LCM of Denominators means LCM of 305,335,871 as per the given fractions.

LCM of 305,335,871 is 265655 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,657,303

GCF of Fractions 60/305,657/335,303/871 is 3/265655

3 60, 657, 303
20, 219, 101

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 60,657,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,657,303 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 60,657,303 . The biggest common factor number is the GCF number.
So the greatest common factor 60,657,303 is 3.

Lets's calculate LCM of 305,335,871

5 305, 335, 871
67 61, 67, 871
61, 1, 13

∴ So the LCM of the given numbers is 5 x 67 x 61 x 1 x 13 = 265655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/265655

Therefore, the GCF of Fractions 60/305,657/335,303/871 is 3/265655

Least Common Multiple of 305,335,871 with GCF Formula

Least Common Multiple of 305,335,871 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 305,335,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,335,871) = 1

common factors(in case of two or more numbers have common factors) = 335

GCF(305,335,871) x common factors =1 x 335 = 335

LCM(305,335,871) = ( 305 × 335 × 871 ) / 335

LCM(305,335,871) = 88994425 / 335

LCM(305,335,871) = 265655


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 60/305, 657/335, 303/871

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 60/305, 657/335, 303/871?

Answer: GCF of Numerators as per given numbers 60/305, 657/335, 303/871 is

GCF of Numerators i.e. for 60,657,303 is 3

LCM of denominators i.e. for 305,335,871 is 265655.

Thus, GCF of Fractions is 3/265655.Finally, GCF of Fractions for 60/305, 657/335, 303/871 is 3/265655.