Greatest Common Factor of 339/70, 768/2890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 339/70, 768/2890

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 339/70,768/2890

Given fractions are 339/70,768/2890

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 339,768

Greatest Common Factor of Numerators i.e. GCF of 339,768 is 3 .

LCM of Denominators means LCM of 70,2890 as per the given fractions.

LCM of 70,2890 is 20230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 339,768

GCF of Fractions 339/70,768/2890 is 3/20230

3 339, 768
113, 256

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 339,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,768 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 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 339,768 . The biggest common factor number is the GCF number.
So the greatest common factor 339,768 is 3.

Lets's calculate LCM of 70,2890

2 70, 2890
5 35, 1445
7, 289

∴ So the LCM of the given numbers is 2 x 5 x 7 x 289 = 20230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20230

Therefore, the GCF of Fractions 339/70,768/2890 is 3/20230

Least Common Multiple of 70,2890 with GCF Formula

Least Common Multiple of 70,2890 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 70,2890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,2890) = 10

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

GCF(70,2890) x common factors =10 x 1 = 10

LCM(70,2890) = ( 70 × 2890 ) / 10

LCM(70,2890) = 202300 / 10

LCM(70,2890) = 20230


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 339/70, 768/2890

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 339/70, 768/2890?

Answer: GCF of Numerators as per given numbers 339/70, 768/2890 is

GCF of Numerators i.e. for 339,768 is 3

LCM of denominators i.e. for 70,2890 is 20230.

Thus, GCF of Fractions is 3/20230.Finally, GCF of Fractions for 339/70, 768/2890 is 3/20230.