Greatest Common Factor of 550/737, 577/228, 568/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 550/737, 577/228, 568/134

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 550/737,577/228,568/134

Given fractions are 550/737,577/228,568/134

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 550,577,568

Greatest Common Factor of Numerators i.e. GCF of 550,577,568 is 1 .

LCM of Denominators means LCM of 737,228,134 as per the given fractions.

LCM of 737,228,134 is 168036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 550,577,568

GCF of Fractions 550/737,577/228,568/134 is 1/168036

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

Greatest Common Factor of 550,577,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,577,568 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 550,577,568 . The biggest common factor number is the GCF number.
So the greatest common factor 550,577,568 is 1.

Lets's calculate LCM of 737,228,134

2 737, 228, 134
67 737, 114, 67
11, 114, 1

∴ So the LCM of the given numbers is 2 x 67 x 11 x 114 x 1 = 168036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168036

Therefore, the GCF of Fractions 550/737,577/228,568/134 is 1/168036

Least Common Multiple of 737,228,134 with GCF Formula

Least Common Multiple of 737,228,134 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 737,228,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,228,134) = 1

common factors(in case of two or more numbers have common factors) = 134

GCF(737,228,134) x common factors =1 x 134 = 134

LCM(737,228,134) = ( 737 × 228 × 134 ) / 134

LCM(737,228,134) = 22516824 / 134

LCM(737,228,134) = 168036


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 550/737, 577/228, 568/134

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 550/737, 577/228, 568/134?

Answer: GCF of Numerators as per given numbers 550/737, 577/228, 568/134 is

GCF of Numerators i.e. for 550,577,568 is 1

LCM of denominators i.e. for 737,228,134 is 168036.

Thus, GCF of Fractions is 1/168036.Finally, GCF of Fractions for 550/737, 577/228, 568/134 is 1/168036.