Greatest Common Factor of 896/49, 142/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 896/49, 142/199

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 896/49,142/199

Given fractions are 896/49,142/199

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 896,142

Greatest Common Factor of Numerators i.e. GCF of 896,142 is 2 .

LCM of Denominators means LCM of 49,199 as per the given fractions.

LCM of 49,199 is 9751 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 896,142

GCF of Fractions 896/49,142/199 is 2/9751

2 896, 142
448, 71

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

Greatest Common Factor of 896,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,142 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 896,142 . The biggest common factor number is the GCF number.
So the greatest common factor 896,142 is 2.


Lets's calculate LCM of 49,199

Given numbers has no common factors except 1. So, there LCM is their product i.e 9751

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9751

Therefore, the GCF of Fractions 896/49,142/199 is 2/9751

Least Common Multiple of 49,199 with GCF Formula

Least Common Multiple of 49,199 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 49,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,199) = 1

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

GCF(49,199) x common factors =1 x 1 = 1

LCM(49,199) = ( 49 × 199 ) / 1

LCM(49,199) = 9751 / 1

LCM(49,199) = 9751


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 896/49, 142/199

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 896/49, 142/199?

Answer: GCF of Numerators as per given numbers 896/49, 142/199 is

GCF of Numerators i.e. for 896,142 is 2

LCM of denominators i.e. for 49,199 is 9751.

Thus, GCF of Fractions is 2/9751.Finally, GCF of Fractions for 896/49, 142/199 is 2/9751.