Greatest Common Factor of 339/354, 787/406, 266/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 339/354, 787/406, 266/302

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 339/354,787/406,266/302

Given fractions are 339/354,787/406,266/302

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 339,787,266

Greatest Common Factor of Numerators i.e. GCF of 339,787,266 is 1 .

LCM of Denominators means LCM of 354,406,302 as per the given fractions.

LCM of 354,406,302 is 10851162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 339,787,266

GCF of Fractions 339/354,787/406,266/302 is 1/10851162

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

Greatest Common Factor of 339,787,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,787,266 By Matching Biggest Common Factor Method

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 339,787,266 . The biggest common factor number is the GCF number.
So the greatest common factor 339,787,266 is 1.

Lets's calculate LCM of 354,406,302

2 354, 406, 302
177, 203, 151

∴ So the LCM of the given numbers is 2 x 177 x 203 x 151 = 10851162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10851162

Therefore, the GCF of Fractions 339/354,787/406,266/302 is 1/10851162

Least Common Multiple of 354,406,302 with GCF Formula

Least Common Multiple of 354,406,302 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 354,406,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,406,302) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(354,406,302) x common factors =2 x 2 = 4

LCM(354,406,302) = ( 354 × 406 × 302 ) / 4

LCM(354,406,302) = 43404648 / 4

LCM(354,406,302) = 10851162


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 339/354, 787/406, 266/302

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 339/354, 787/406, 266/302?

Answer: GCF of Numerators as per given numbers 339/354, 787/406, 266/302 is

GCF of Numerators i.e. for 339,787,266 is 1

LCM of denominators i.e. for 354,406,302 is 10851162.

Thus, GCF of Fractions is 1/10851162.Finally, GCF of Fractions for 339/354, 787/406, 266/302 is 1/10851162.