Greatest Common Factor of 448/989, 7578/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 448/989, 7578/195

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 448/989,7578/195

Given fractions are 448/989,7578/195

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 448,7578

Greatest Common Factor of Numerators i.e. GCF of 448,7578 is 2 .

LCM of Denominators means LCM of 989,195 as per the given fractions.

LCM of 989,195 is 192855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 448,7578

GCF of Fractions 448/989,7578/195 is 2/192855

2 448, 7578
224, 3789

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

Greatest Common Factor of 448,7578 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,7578 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 7578

List of positive integer factors of 7578 that divides 7578 without a remainder.

1,2,3,6,9,18,421,842,1263,2526,3789,7578

Greatest Common Factor

We found the factors 448,7578 . The biggest common factor number is the GCF number.
So the greatest common factor 448,7578 is 2.

Lets's calculate LCM of 989,195

Given numbers has no common factors except 1. So, there LCM is their product i.e 192855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/192855

Therefore, the GCF of Fractions 448/989,7578/195 is 2/192855

Least Common Multiple of 989,195 with GCF Formula

Least Common Multiple of 989,195 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 989,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,195) = 1

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

GCF(989,195) x common factors =1 x 1 = 1

LCM(989,195) = ( 989 × 195 ) / 1

LCM(989,195) = 192855 / 1

LCM(989,195) = 192855


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 448/989, 7578/195

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 448/989, 7578/195?

Answer: GCF of Numerators as per given numbers 448/989, 7578/195 is

GCF of Numerators i.e. for 448,7578 is 2

LCM of denominators i.e. for 989,195 is 192855.

Thus, GCF of Fractions is 2/192855.Finally, GCF of Fractions for 448/989, 7578/195 is 2/192855.