Greatest Common Factor of 112/78, 644/3482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 112/78, 644/3482

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 112/78,644/3482

Given fractions are 112/78,644/3482

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 112,644

Greatest Common Factor of Numerators i.e. GCF of 112,644 is 28 .

LCM of Denominators means LCM of 78,3482 as per the given fractions.

LCM of 78,3482 is 135798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 112,644

GCF of Fractions 112/78,644/3482 is 28/135798

2 112, 644
2 56, 322
7 28, 161
4, 23

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 112,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,644 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 112,644 . The biggest common factor number is the GCF number.
So the greatest common factor 112,644 is 28.

Lets's calculate LCM of 78,3482

2 78, 3482
39, 1741

∴ So the LCM of the given numbers is 2 x 39 x 1741 = 135798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/135798

Therefore, the GCF of Fractions 112/78,644/3482 is 28/135798

Least Common Multiple of 78,3482 with GCF Formula

Least Common Multiple of 78,3482 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 78,3482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,3482) = 2

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

GCF(78,3482) x common factors =2 x 1 = 2

LCM(78,3482) = ( 78 × 3482 ) / 2

LCM(78,3482) = 271596 / 2

LCM(78,3482) = 135798


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 112/78, 644/3482

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 112/78, 644/3482?

Answer: GCF of Numerators as per given numbers 112/78, 644/3482 is

GCF of Numerators i.e. for 112,644 is 28

LCM of denominators i.e. for 78,3482 is 135798.

Thus, GCF of Fractions is 28/135798.Finally, GCF of Fractions for 112/78, 644/3482 is 28/135798.