Greatest Common Factor of 548/305, 822/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 548/305, 822/514

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 548/305,822/514

Given fractions are 548/305,822/514

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 548,822

Greatest Common Factor of Numerators i.e. GCF of 548,822 is 274 .

LCM of Denominators means LCM of 305,514 as per the given fractions.

LCM of 305,514 is 156770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 548,822

GCF of Fractions 548/305,822/514 is 274/156770

2 548, 822
137 274, 411
2, 3

∴ So the GCF of the given numbers is 2 x 137 = 274

Greatest Common Factor of 548,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,822 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 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 548,822 . The biggest common factor number is the GCF number.
So the greatest common factor 548,822 is 274.

Lets's calculate LCM of 305,514

Given numbers has no common factors except 1. So, there LCM is their product i.e 156770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 274/156770

Therefore, the GCF of Fractions 548/305,822/514 is 274/156770

Least Common Multiple of 305,514 with GCF Formula

Least Common Multiple of 305,514 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 305,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,514) = 1

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

GCF(305,514) x common factors =1 x 1 = 1

LCM(305,514) = ( 305 × 514 ) / 1

LCM(305,514) = 156770 / 1

LCM(305,514) = 156770


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 548/305, 822/514

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 548/305, 822/514?

Answer: GCF of Numerators as per given numbers 548/305, 822/514 is

GCF of Numerators i.e. for 548,822 is 274

LCM of denominators i.e. for 305,514 is 156770.

Thus, GCF of Fractions is 274/156770.Finally, GCF of Fractions for 548/305, 822/514 is 274/156770.