Greatest Common Factor of 548/78, 532/60, 449/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 548/78, 532/60, 449/979

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 548/78,532/60,449/979

Given fractions are 548/78,532/60,449/979

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 548,532,449

Greatest Common Factor of Numerators i.e. GCF of 548,532,449 is 1 .

LCM of Denominators means LCM of 78,60,979 as per the given fractions.

LCM of 78,60,979 is 763620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 548,532,449

GCF of Fractions 548/78,532/60,449/979 is 1/763620

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

Greatest Common Factor of 548,532,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,532,449 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 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 548,532,449 . The biggest common factor number is the GCF number.
So the greatest common factor 548,532,449 is 1.

Lets's calculate LCM of 78,60,979

2 78, 60, 979
3 39, 30, 979
13, 10, 979

∴ So the LCM of the given numbers is 2 x 3 x 13 x 10 x 979 = 763620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/763620

Therefore, the GCF of Fractions 548/78,532/60,449/979 is 1/763620

Least Common Multiple of 78,60,979 with GCF Formula

Least Common Multiple of 78,60,979 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 78,60,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,60,979) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,60,979) x common factors =1 x 6 = 6

LCM(78,60,979) = ( 78 × 60 × 979 ) / 6

LCM(78,60,979) = 4581720 / 6

LCM(78,60,979) = 763620


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 548/78, 532/60, 449/979

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 548/78, 532/60, 449/979?

Answer: GCF of Numerators as per given numbers 548/78, 532/60, 449/979 is

GCF of Numerators i.e. for 548,532,449 is 1

LCM of denominators i.e. for 78,60,979 is 763620.

Thus, GCF of Fractions is 1/763620.Finally, GCF of Fractions for 548/78, 532/60, 449/979 is 1/763620.