Greatest Common Factor of 357/48, 138/71, 303/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 357/48, 138/71, 303/305

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 357/48,138/71,303/305

Given fractions are 357/48,138/71,303/305

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 357,138,303

Greatest Common Factor of Numerators i.e. GCF of 357,138,303 is 3 .

LCM of Denominators means LCM of 48,71,305 as per the given fractions.

LCM of 48,71,305 is 1039440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 357,138,303

GCF of Fractions 357/48,138/71,303/305 is 3/1039440

3 357, 138, 303
119, 46, 101

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

Greatest Common Factor of 357,138,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,138,303 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

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 357,138,303 . The biggest common factor number is the GCF number.
So the greatest common factor 357,138,303 is 3.

Lets's calculate LCM of 48,71,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 1039440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1039440

Therefore, the GCF of Fractions 357/48,138/71,303/305 is 3/1039440

Least Common Multiple of 48,71,305 with GCF Formula

Least Common Multiple of 48,71,305 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 48,71,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,71,305) = 1

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

GCF(48,71,305) x common factors =1 x 1 = 1

LCM(48,71,305) = ( 48 × 71 × 305 ) / 1

LCM(48,71,305) = 1039440 / 1

LCM(48,71,305) = 1039440


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 357/48, 138/71, 303/305

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 357/48, 138/71, 303/305?

Answer: GCF of Numerators as per given numbers 357/48, 138/71, 303/305 is

GCF of Numerators i.e. for 357,138,303 is 3

LCM of denominators i.e. for 48,71,305 is 1039440.

Thus, GCF of Fractions is 3/1039440.Finally, GCF of Fractions for 357/48, 138/71, 303/305 is 3/1039440.