Greatest Common Factor of 302/27, 838/61, 774/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 302/27, 838/61, 774/167

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 302/27,838/61,774/167

Given fractions are 302/27,838/61,774/167

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 302,838,774

Greatest Common Factor of Numerators i.e. GCF of 302,838,774 is 2 .

LCM of Denominators means LCM of 27,61,167 as per the given fractions.

LCM of 27,61,167 is 275049 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 302,838,774

GCF of Fractions 302/27,838/61,774/167 is 2/275049

2 302, 838, 774
151, 419, 387

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

Greatest Common Factor of 302,838,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,838,774 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 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 302,838,774 . The biggest common factor number is the GCF number.
So the greatest common factor 302,838,774 is 2.

Lets's calculate LCM of 27,61,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 275049

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/275049

Therefore, the GCF of Fractions 302/27,838/61,774/167 is 2/275049

Least Common Multiple of 27,61,167 with GCF Formula

Least Common Multiple of 27,61,167 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 27,61,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,61,167) = 1

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

GCF(27,61,167) x common factors =1 x 1 = 1

LCM(27,61,167) = ( 27 × 61 × 167 ) / 1

LCM(27,61,167) = 275049 / 1

LCM(27,61,167) = 275049


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 302/27, 838/61, 774/167

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 302/27, 838/61, 774/167?

Answer: GCF of Numerators as per given numbers 302/27, 838/61, 774/167 is

GCF of Numerators i.e. for 302,838,774 is 2

LCM of denominators i.e. for 27,61,167 is 275049.

Thus, GCF of Fractions is 2/275049.Finally, GCF of Fractions for 302/27, 838/61, 774/167 is 2/275049.