Greatest Common Factor of 141/296, 980/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 141/296, 980/978

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 141/296,980/978

Given fractions are 141/296,980/978

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 141,980

Greatest Common Factor of Numerators i.e. GCF of 141,980 is 1 .

LCM of Denominators means LCM of 296,978 as per the given fractions.

LCM of 296,978 is 144744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 141,980

GCF of Fractions 141/296,980/978 is 1/144744

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

Greatest Common Factor of 141,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,980 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 141,980 . The biggest common factor number is the GCF number.
So the greatest common factor 141,980 is 1.

Lets's calculate LCM of 296,978

2 296, 978
148, 489

∴ So the LCM of the given numbers is 2 x 148 x 489 = 144744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144744

Therefore, the GCF of Fractions 141/296,980/978 is 1/144744

Least Common Multiple of 296,978 with GCF Formula

Least Common Multiple of 296,978 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 296,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,978) = 2

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

GCF(296,978) x common factors =2 x 1 = 2

LCM(296,978) = ( 296 × 978 ) / 2

LCM(296,978) = 289488 / 2

LCM(296,978) = 144744


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 141/296, 980/978

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 141/296, 980/978?

Answer: GCF of Numerators as per given numbers 141/296, 980/978 is

GCF of Numerators i.e. for 141,980 is 1

LCM of denominators i.e. for 296,978 is 144744.

Thus, GCF of Fractions is 1/144744.Finally, GCF of Fractions for 141/296, 980/978 is 1/144744.