Greatest Common Factor of 988/709, 574/978, 243/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 988/709, 574/978, 243/231

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 988/709,574/978,243/231

Given fractions are 988/709,574/978,243/231

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 988,574,243

Greatest Common Factor of Numerators i.e. GCF of 988,574,243 is 1 .

LCM of Denominators means LCM of 709,978,231 as per the given fractions.

LCM of 709,978,231 is 53391954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 988,574,243

GCF of Fractions 988/709,574/978,243/231 is 1/53391954

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

Greatest Common Factor of 988,574,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,574,243 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 988,574,243 . The biggest common factor number is the GCF number.
So the greatest common factor 988,574,243 is 1.

Lets's calculate LCM of 709,978,231

3 709, 978, 231
709, 326, 77

∴ So the LCM of the given numbers is 3 x 709 x 326 x 77 = 53391954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53391954

Therefore, the GCF of Fractions 988/709,574/978,243/231 is 1/53391954

Least Common Multiple of 709,978,231 with GCF Formula

Least Common Multiple of 709,978,231 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 709,978,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,978,231) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(709,978,231) x common factors =1 x 3 = 3

LCM(709,978,231) = ( 709 × 978 × 231 ) / 3

LCM(709,978,231) = 160175862 / 3

LCM(709,978,231) = 53391954


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 988/709, 574/978, 243/231

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 988/709, 574/978, 243/231?

Answer: GCF of Numerators as per given numbers 988/709, 574/978, 243/231 is

GCF of Numerators i.e. for 988,574,243 is 1

LCM of denominators i.e. for 709,978,231 is 53391954.

Thus, GCF of Fractions is 1/53391954.Finally, GCF of Fractions for 988/709, 574/978, 243/231 is 1/53391954.