Greatest Common Factor of 392/99, 582/13, 352/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 392/99, 582/13, 352/140

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 392/99,582/13,352/140

Given fractions are 392/99,582/13,352/140

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 392,582,352

Greatest Common Factor of Numerators i.e. GCF of 392,582,352 is 2 .

LCM of Denominators means LCM of 99,13,140 as per the given fractions.

LCM of 99,13,140 is 180180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 392,582,352

GCF of Fractions 392/99,582/13,352/140 is 2/180180

2 392, 582, 352
196, 291, 176

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 392,582,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,582,352 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 392,582,352 . The biggest common factor number is the GCF number.
So the greatest common factor 392,582,352 is 2.

Lets's calculate LCM of 99,13,140

Given numbers has no common factors except 1. So, there LCM is their product i.e 180180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/180180

Therefore, the GCF of Fractions 392/99,582/13,352/140 is 2/180180

Least Common Multiple of 99,13,140 with GCF Formula

Least Common Multiple of 99,13,140 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 99,13,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,13,140) = 1

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

GCF(99,13,140) x common factors =1 x 1 = 1

LCM(99,13,140) = ( 99 × 13 × 140 ) / 1

LCM(99,13,140) = 180180 / 1

LCM(99,13,140) = 180180


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 392/99, 582/13, 352/140

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 392/99, 582/13, 352/140?

Answer: GCF of Numerators as per given numbers 392/99, 582/13, 352/140 is

GCF of Numerators i.e. for 392,582,352 is 2

LCM of denominators i.e. for 99,13,140 is 180180.

Thus, GCF of Fractions is 2/180180.Finally, GCF of Fractions for 392/99, 582/13, 352/140 is 2/180180.