Greatest Common Factor of 196/37, 309/94, 489/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 196/37, 309/94, 489/48

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 196/37,309/94,489/48

Given fractions are 196/37,309/94,489/48

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 196,309,489

Greatest Common Factor of Numerators i.e. GCF of 196,309,489 is 1 .

LCM of Denominators means LCM of 37,94,48 as per the given fractions.

LCM of 37,94,48 is 83472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 196,309,489

GCF of Fractions 196/37,309/94,489/48 is 1/83472

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

Greatest Common Factor of 196,309,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,309,489 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 196,309,489 . The biggest common factor number is the GCF number.
So the greatest common factor 196,309,489 is 1.

Lets's calculate LCM of 37,94,48

2 37, 94, 48
37, 47, 24

∴ So the LCM of the given numbers is 2 x 37 x 47 x 24 = 83472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83472

Therefore, the GCF of Fractions 196/37,309/94,489/48 is 1/83472

Least Common Multiple of 37,94,48 with GCF Formula

Least Common Multiple of 37,94,48 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 37,94,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,94,48) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(37,94,48) x common factors =1 x 2 = 2

LCM(37,94,48) = ( 37 × 94 × 48 ) / 2

LCM(37,94,48) = 166944 / 2

LCM(37,94,48) = 83472


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 196/37, 309/94, 489/48

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 196/37, 309/94, 489/48?

Answer: GCF of Numerators as per given numbers 196/37, 309/94, 489/48 is

GCF of Numerators i.e. for 196,309,489 is 1

LCM of denominators i.e. for 37,94,48 is 83472.

Thus, GCF of Fractions is 1/83472.Finally, GCF of Fractions for 196/37, 309/94, 489/48 is 1/83472.