Greatest Common Factor of 9878/324, 5312/5112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9878/324, 5312/5112

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 9878/324,5312/5112

Given fractions are 9878/324,5312/5112

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 9878,5312

Greatest Common Factor of Numerators i.e. GCF of 9878,5312 is 2 .

LCM of Denominators means LCM of 324,5112 as per the given fractions.

LCM of 324,5112 is 46008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9878,5312

GCF of Fractions 9878/324,5312/5112 is 2/46008

2 9878, 5312
4939, 2656

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

Greatest Common Factor of 9878,5312 By Matching Biggest Common Factor Method

Greatest Common Factor of 9878,5312 By Matching Biggest Common Factor Method

Factors of 9878

List of positive integer factors of 9878 that divides 9878 without a remainder.

1,2,11,22,449,898,4939,9878

Factors of 5312

List of positive integer factors of 5312 that divides 5312 without a remainder.

1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312

Greatest Common Factor

We found the factors 9878,5312 . The biggest common factor number is the GCF number.
So the greatest common factor 9878,5312 is 2.

Lets's calculate LCM of 324,5112

2 324, 5112
2 162, 2556
3 81, 1278
3 27, 426
9, 142

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 9 x 142 = 46008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46008

Therefore, the GCF of Fractions 9878/324,5312/5112 is 2/46008

Least Common Multiple of 324,5112 with GCF Formula

Least Common Multiple of 324,5112 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 324,5112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,5112) = 36

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

GCF(324,5112) x common factors =36 x 1 = 36

LCM(324,5112) = ( 324 × 5112 ) / 36

LCM(324,5112) = 1656288 / 36

LCM(324,5112) = 46008


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 9878/324, 5312/5112

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 9878/324, 5312/5112?

Answer: GCF of Numerators as per given numbers 9878/324, 5312/5112 is

GCF of Numerators i.e. for 9878,5312 is 2

LCM of denominators i.e. for 324,5112 is 46008.

Thus, GCF of Fractions is 2/46008.Finally, GCF of Fractions for 9878/324, 5312/5112 is 2/46008.