Greatest Common Factor of 302/438, 185/274, 883/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 302/438, 185/274, 883/234

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 302/438,185/274,883/234

Given fractions are 302/438,185/274,883/234

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 302,185,883

Greatest Common Factor of Numerators i.e. GCF of 302,185,883 is 1 .

LCM of Denominators means LCM of 438,274,234 as per the given fractions.

LCM of 438,274,234 is 2340234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 302,185,883

GCF of Fractions 302/438,185/274,883/234 is 1/2340234

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

Greatest Common Factor of 302,185,883 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,185,883 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Greatest Common Factor

We found the factors 302,185,883 . The biggest common factor number is the GCF number.
So the greatest common factor 302,185,883 is 1.

Lets's calculate LCM of 438,274,234

2 438, 274, 234
3 219, 137, 117
73, 137, 39

∴ So the LCM of the given numbers is 2 x 3 x 73 x 137 x 39 = 2340234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2340234

Therefore, the GCF of Fractions 302/438,185/274,883/234 is 1/2340234

Least Common Multiple of 438,274,234 with GCF Formula

Least Common Multiple of 438,274,234 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 438,274,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,274,234) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(438,274,234) x common factors =2 x 6 = 12

LCM(438,274,234) = ( 438 × 274 × 234 ) / 12

LCM(438,274,234) = 28082808 / 12

LCM(438,274,234) = 2340234


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 302/438, 185/274, 883/234

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 302/438, 185/274, 883/234?

Answer: GCF of Numerators as per given numbers 302/438, 185/274, 883/234 is

GCF of Numerators i.e. for 302,185,883 is 1

LCM of denominators i.e. for 438,274,234 is 2340234.

Thus, GCF of Fractions is 1/2340234.Finally, GCF of Fractions for 302/438, 185/274, 883/234 is 1/2340234.