Greatest Common Factor of 548/356, 5789/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 548/356, 5789/398

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 548/356,5789/398

Given fractions are 548/356,5789/398

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 548,5789

Greatest Common Factor of Numerators i.e. GCF of 548,5789 is 1 .

LCM of Denominators means LCM of 356,398 as per the given fractions.

LCM of 356,398 is 70844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 548,5789

GCF of Fractions 548/356,5789/398 is 1/70844

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

Greatest Common Factor of 548,5789 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,5789 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 5789

List of positive integer factors of 5789 that divides 5789 without a remainder.

1,7,827,5789

Greatest Common Factor

We found the factors 548,5789 . The biggest common factor number is the GCF number.
So the greatest common factor 548,5789 is 1.

Lets's calculate LCM of 356,398

2 356, 398
178, 199

∴ So the LCM of the given numbers is 2 x 178 x 199 = 70844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70844

Therefore, the GCF of Fractions 548/356,5789/398 is 1/70844

Least Common Multiple of 356,398 with GCF Formula

Least Common Multiple of 356,398 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 356,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,398) = 2

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

GCF(356,398) x common factors =2 x 1 = 2

LCM(356,398) = ( 356 × 398 ) / 2

LCM(356,398) = 141688 / 2

LCM(356,398) = 70844


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 548/356, 5789/398

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 548/356, 5789/398?

Answer: GCF of Numerators as per given numbers 548/356, 5789/398 is

GCF of Numerators i.e. for 548,5789 is 1

LCM of denominators i.e. for 356,398 is 70844.

Thus, GCF of Fractions is 1/70844.Finally, GCF of Fractions for 548/356, 5789/398 is 1/70844.