Greatest Common Factor of 136/80, 930/10, 744/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 136/80, 930/10, 744/98

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 136/80,930/10,744/98

Given fractions are 136/80,930/10,744/98

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 136,930,744

Greatest Common Factor of Numerators i.e. GCF of 136,930,744 is 2 .

LCM of Denominators means LCM of 80,10,98 as per the given fractions.

LCM of 80,10,98 is 3920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 136,930,744

GCF of Fractions 136/80,930/10,744/98 is 2/3920

2 136, 930, 744
68, 465, 372

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

Greatest Common Factor of 136,930,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,930,744 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 136,930,744 . The biggest common factor number is the GCF number.
So the greatest common factor 136,930,744 is 2.

Lets's calculate LCM of 80,10,98

2 80, 10, 98
5 40, 5, 49
8, 1, 49

∴ So the LCM of the given numbers is 2 x 5 x 8 x 1 x 49 = 3920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3920

Therefore, the GCF of Fractions 136/80,930/10,744/98 is 2/3920

Least Common Multiple of 80,10,98 with GCF Formula

Least Common Multiple of 80,10,98 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 80,10,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,10,98) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(80,10,98) x common factors =2 x 10 = 20

LCM(80,10,98) = ( 80 × 10 × 98 ) / 20

LCM(80,10,98) = 78400 / 20

LCM(80,10,98) = 3920


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 136/80, 930/10, 744/98

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 136/80, 930/10, 744/98?

Answer: GCF of Numerators as per given numbers 136/80, 930/10, 744/98 is

GCF of Numerators i.e. for 136,930,744 is 2

LCM of denominators i.e. for 80,10,98 is 3920.

Thus, GCF of Fractions is 2/3920.Finally, GCF of Fractions for 136/80, 930/10, 744/98 is 2/3920.