Greatest Common Factor of 557/175, 129/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 557/175, 129/306

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 557/175,129/306

Given fractions are 557/175,129/306

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 557,129

Greatest Common Factor of Numerators i.e. GCF of 557,129 is 1 .

LCM of Denominators means LCM of 175,306 as per the given fractions.

LCM of 175,306 is 53550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 557,129

GCF of Fractions 557/175,129/306 is 1/53550

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

Greatest Common Factor of 557,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,129 By Matching Biggest Common Factor Method

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 557,129 . The biggest common factor number is the GCF number.
So the greatest common factor 557,129 is 1.

Lets's calculate LCM of 175,306

Given numbers has no common factors except 1. So, there LCM is their product i.e 53550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53550

Therefore, the GCF of Fractions 557/175,129/306 is 1/53550

Least Common Multiple of 175,306 with GCF Formula

Least Common Multiple of 175,306 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 175,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,306) = 1

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

GCF(175,306) x common factors =1 x 1 = 1

LCM(175,306) = ( 175 × 306 ) / 1

LCM(175,306) = 53550 / 1

LCM(175,306) = 53550


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 557/175, 129/306

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 557/175, 129/306?

Answer: GCF of Numerators as per given numbers 557/175, 129/306 is

GCF of Numerators i.e. for 557,129 is 1

LCM of denominators i.e. for 175,306 is 53550.

Thus, GCF of Fractions is 1/53550.Finally, GCF of Fractions for 557/175, 129/306 is 1/53550.