Greatest Common Factor of 979/81, 738/20, 190/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 979/81, 738/20, 190/325

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 979/81,738/20,190/325

Given fractions are 979/81,738/20,190/325

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 979,738,190

Greatest Common Factor of Numerators i.e. GCF of 979,738,190 is 1 .

LCM of Denominators means LCM of 81,20,325 as per the given fractions.

LCM of 81,20,325 is 105300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 979,738,190

GCF of Fractions 979/81,738/20,190/325 is 1/105300

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

Greatest Common Factor of 979,738,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,738,190 By Matching Biggest Common Factor Method

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 979,738,190 . The biggest common factor number is the GCF number.
So the greatest common factor 979,738,190 is 1.

Lets's calculate LCM of 81,20,325

5 81, 20, 325
81, 4, 65

∴ So the LCM of the given numbers is 5 x 81 x 4 x 65 = 105300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105300

Therefore, the GCF of Fractions 979/81,738/20,190/325 is 1/105300

Least Common Multiple of 81,20,325 with GCF Formula

Least Common Multiple of 81,20,325 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 81,20,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,20,325) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(81,20,325) x common factors =1 x 5 = 5

LCM(81,20,325) = ( 81 × 20 × 325 ) / 5

LCM(81,20,325) = 526500 / 5

LCM(81,20,325) = 105300


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 979/81, 738/20, 190/325

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 979/81, 738/20, 190/325?

Answer: GCF of Numerators as per given numbers 979/81, 738/20, 190/325 is

GCF of Numerators i.e. for 979,738,190 is 1

LCM of denominators i.e. for 81,20,325 is 105300.

Thus, GCF of Fractions is 1/105300.Finally, GCF of Fractions for 979/81, 738/20, 190/325 is 1/105300.