Greatest Common Factor of 548/39, 315/73, 639/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 548/39, 315/73, 639/940

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 548/39,315/73,639/940

Given fractions are 548/39,315/73,639/940

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 548,315,639

Greatest Common Factor of Numerators i.e. GCF of 548,315,639 is 1 .

LCM of Denominators means LCM of 39,73,940 as per the given fractions.

LCM of 39,73,940 is 2676180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 548,315,639

GCF of Fractions 548/39,315/73,639/940 is 1/2676180

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

Greatest Common Factor of 548,315,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,315,639 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 548,315,639 . The biggest common factor number is the GCF number.
So the greatest common factor 548,315,639 is 1.

Lets's calculate LCM of 39,73,940

Given numbers has no common factors except 1. So, there LCM is their product i.e 2676180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2676180

Therefore, the GCF of Fractions 548/39,315/73,639/940 is 1/2676180

Least Common Multiple of 39,73,940 with GCF Formula

Least Common Multiple of 39,73,940 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 39,73,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,73,940) = 1

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

GCF(39,73,940) x common factors =1 x 1 = 1

LCM(39,73,940) = ( 39 × 73 × 940 ) / 1

LCM(39,73,940) = 2676180 / 1

LCM(39,73,940) = 2676180


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 548/39, 315/73, 639/940

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 548/39, 315/73, 639/940?

Answer: GCF of Numerators as per given numbers 548/39, 315/73, 639/940 is

GCF of Numerators i.e. for 548,315,639 is 1

LCM of denominators i.e. for 39,73,940 is 2676180.

Thus, GCF of Fractions is 1/2676180.Finally, GCF of Fractions for 548/39, 315/73, 639/940 is 1/2676180.