Greatest Common Factor of 121/853, 112/297, 174/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 121/853, 112/297, 174/388

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 121/853,112/297,174/388

Given fractions are 121/853,112/297,174/388

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 121,112,174

Greatest Common Factor of Numerators i.e. GCF of 121,112,174 is 1 .

LCM of Denominators means LCM of 853,297,388 as per the given fractions.

LCM of 853,297,388 is 98296308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 121,112,174

GCF of Fractions 121/853,112/297,174/388 is 1/98296308

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 121,112,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,112,174 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

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 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 121,112,174 . The biggest common factor number is the GCF number.
So the greatest common factor 121,112,174 is 1.

Lets's calculate LCM of 853,297,388

Given numbers has no common factors except 1. So, there LCM is their product i.e 98296308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98296308

Therefore, the GCF of Fractions 121/853,112/297,174/388 is 1/98296308

Least Common Multiple of 853,297,388 with GCF Formula

Least Common Multiple of 853,297,388 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 853,297,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(853,297,388) = 1

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

GCF(853,297,388) x common factors =1 x 1 = 1

LCM(853,297,388) = ( 853 × 297 × 388 ) / 1

LCM(853,297,388) = 98296308 / 1

LCM(853,297,388) = 98296308


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 121/853, 112/297, 174/388

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 121/853, 112/297, 174/388?

Answer: GCF of Numerators as per given numbers 121/853, 112/297, 174/388 is

GCF of Numerators i.e. for 121,112,174 is 1

LCM of denominators i.e. for 853,297,388 is 98296308.

Thus, GCF of Fractions is 1/98296308.Finally, GCF of Fractions for 121/853, 112/297, 174/388 is 1/98296308.