Greatest Common Factor of 364/40, 198/45, 710/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 364/40, 198/45, 710/123

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 364/40,198/45,710/123

Given fractions are 364/40,198/45,710/123

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 364,198,710

Greatest Common Factor of Numerators i.e. GCF of 364,198,710 is 2 .

LCM of Denominators means LCM of 40,45,123 as per the given fractions.

LCM of 40,45,123 is 14760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 364,198,710

GCF of Fractions 364/40,198/45,710/123 is 2/14760

2 364, 198, 710
182, 99, 355

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

Greatest Common Factor of 364,198,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,198,710 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 364,198,710 . The biggest common factor number is the GCF number.
So the greatest common factor 364,198,710 is 2.

Lets's calculate LCM of 40,45,123

3 40, 45, 123
5 40, 15, 41
8, 3, 41

∴ So the LCM of the given numbers is 3 x 5 x 8 x 3 x 41 = 14760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14760

Therefore, the GCF of Fractions 364/40,198/45,710/123 is 2/14760

Least Common Multiple of 40,45,123 with GCF Formula

Least Common Multiple of 40,45,123 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 40,45,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,45,123) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(40,45,123) x common factors =1 x 15 = 15

LCM(40,45,123) = ( 40 × 45 × 123 ) / 15

LCM(40,45,123) = 221400 / 15

LCM(40,45,123) = 14760


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 364/40, 198/45, 710/123

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 364/40, 198/45, 710/123?

Answer: GCF of Numerators as per given numbers 364/40, 198/45, 710/123 is

GCF of Numerators i.e. for 364,198,710 is 2

LCM of denominators i.e. for 40,45,123 is 14760.

Thus, GCF of Fractions is 2/14760.Finally, GCF of Fractions for 364/40, 198/45, 710/123 is 2/14760.