Greatest Common Factor of 978/87, 388/5192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 978/87, 388/5192

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 978/87,388/5192

Given fractions are 978/87,388/5192

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 978,388

Greatest Common Factor of Numerators i.e. GCF of 978,388 is 2 .

LCM of Denominators means LCM of 87,5192 as per the given fractions.

LCM of 87,5192 is 451704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 978,388

GCF of Fractions 978/87,388/5192 is 2/451704

2 978, 388
489, 194

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

Greatest Common Factor of 978,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,388 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 978,388 . The biggest common factor number is the GCF number.
So the greatest common factor 978,388 is 2.

Lets's calculate LCM of 87,5192

Given numbers has no common factors except 1. So, there LCM is their product i.e 451704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/451704

Therefore, the GCF of Fractions 978/87,388/5192 is 2/451704

Least Common Multiple of 87,5192 with GCF Formula

Least Common Multiple of 87,5192 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 87,5192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,5192) = 1

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

GCF(87,5192) x common factors =1 x 1 = 1

LCM(87,5192) = ( 87 × 5192 ) / 1

LCM(87,5192) = 451704 / 1

LCM(87,5192) = 451704


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 978/87, 388/5192

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 978/87, 388/5192?

Answer: GCF of Numerators as per given numbers 978/87, 388/5192 is

GCF of Numerators i.e. for 978,388 is 2

LCM of denominators i.e. for 87,5192 is 451704.

Thus, GCF of Fractions is 2/451704.Finally, GCF of Fractions for 978/87, 388/5192 is 2/451704.