Greatest Common Factor of 988/929, 190/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 988/929, 190/728

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 988/929,190/728

Given fractions are 988/929,190/728

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 988,190

Greatest Common Factor of Numerators i.e. GCF of 988,190 is 38 .

LCM of Denominators means LCM of 929,728 as per the given fractions.

LCM of 929,728 is 676312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 988,190

GCF of Fractions 988/929,190/728 is 38/676312

2 988, 190
19 494, 95
26, 5

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 988,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,190 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 988,190 . The biggest common factor number is the GCF number.
So the greatest common factor 988,190 is 38.

Lets's calculate LCM of 929,728

Given numbers has no common factors except 1. So, there LCM is their product i.e 676312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/676312

Therefore, the GCF of Fractions 988/929,190/728 is 38/676312

Least Common Multiple of 929,728 with GCF Formula

Least Common Multiple of 929,728 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 929,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,728) = 1

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

GCF(929,728) x common factors =1 x 1 = 1

LCM(929,728) = ( 929 × 728 ) / 1

LCM(929,728) = 676312 / 1

LCM(929,728) = 676312


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 988/929, 190/728

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 988/929, 190/728?

Answer: GCF of Numerators as per given numbers 988/929, 190/728 is

GCF of Numerators i.e. for 988,190 is 38

LCM of denominators i.e. for 929,728 is 676312.

Thus, GCF of Fractions is 38/676312.Finally, GCF of Fractions for 988/929, 190/728 is 38/676312.