Greatest Common Factor of 369/40, 223/64, 428/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 369/40, 223/64, 428/138

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 369/40,223/64,428/138

Given fractions are 369/40,223/64,428/138

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 369,223,428

Greatest Common Factor of Numerators i.e. GCF of 369,223,428 is 1 .

LCM of Denominators means LCM of 40,64,138 as per the given fractions.

LCM of 40,64,138 is 22080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 369,223,428

GCF of Fractions 369/40,223/64,428/138 is 1/22080

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

Greatest Common Factor of 369,223,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,223,428 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 369,223,428 . The biggest common factor number is the GCF number.
So the greatest common factor 369,223,428 is 1.

Lets's calculate LCM of 40,64,138

2 40, 64, 138
2 20, 32, 69
2 10, 16, 69
5, 8, 69

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 8 x 69 = 22080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22080

Therefore, the GCF of Fractions 369/40,223/64,428/138 is 1/22080

Least Common Multiple of 40,64,138 with GCF Formula

Least Common Multiple of 40,64,138 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 40,64,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,64,138) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(40,64,138) x common factors =2 x 8 = 16

LCM(40,64,138) = ( 40 × 64 × 138 ) / 16

LCM(40,64,138) = 353280 / 16

LCM(40,64,138) = 22080


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 369/40, 223/64, 428/138

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 369/40, 223/64, 428/138?

Answer: GCF of Numerators as per given numbers 369/40, 223/64, 428/138 is

GCF of Numerators i.e. for 369,223,428 is 1

LCM of denominators i.e. for 40,64,138 is 22080.

Thus, GCF of Fractions is 1/22080.Finally, GCF of Fractions for 369/40, 223/64, 428/138 is 1/22080.