Greatest Common Factor of 4765/50, 7074/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4765/50, 7074/243

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 4765/50,7074/243

Given fractions are 4765/50,7074/243

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 4765,7074

Greatest Common Factor of Numerators i.e. GCF of 4765,7074 is 1 .

LCM of Denominators means LCM of 50,243 as per the given fractions.

LCM of 50,243 is 12150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4765,7074

GCF of Fractions 4765/50,7074/243 is 1/12150

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

Greatest Common Factor of 4765,7074 By Matching Biggest Common Factor Method

Greatest Common Factor of 4765,7074 By Matching Biggest Common Factor Method

Factors of 4765

List of positive integer factors of 4765 that divides 4765 without a remainder.

1,5,953,4765

Factors of 7074

List of positive integer factors of 7074 that divides 7074 without a remainder.

1,2,3,6,9,18,27,54,131,262,393,786,1179,2358,3537,7074

Greatest Common Factor

We found the factors 4765,7074 . The biggest common factor number is the GCF number.
So the greatest common factor 4765,7074 is 1.

Lets's calculate LCM of 50,243

Given numbers has no common factors except 1. So, there LCM is their product i.e 12150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12150

Therefore, the GCF of Fractions 4765/50,7074/243 is 1/12150

Least Common Multiple of 50,243 with GCF Formula

Least Common Multiple of 50,243 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 50,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,243) = 1

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

GCF(50,243) x common factors =1 x 1 = 1

LCM(50,243) = ( 50 × 243 ) / 1

LCM(50,243) = 12150 / 1

LCM(50,243) = 12150


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 4765/50, 7074/243

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 4765/50, 7074/243?

Answer: GCF of Numerators as per given numbers 4765/50, 7074/243 is

GCF of Numerators i.e. for 4765,7074 is 1

LCM of denominators i.e. for 50,243 is 12150.

Thus, GCF of Fractions is 1/12150.Finally, GCF of Fractions for 4765/50, 7074/243 is 1/12150.