Greatest Common Factor of 4294/20, 7406/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4294/20, 7406/313

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 4294/20,7406/313

Given fractions are 4294/20,7406/313

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 4294,7406

Greatest Common Factor of Numerators i.e. GCF of 4294,7406 is 2 .

LCM of Denominators means LCM of 20,313 as per the given fractions.

LCM of 20,313 is 6260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4294,7406

GCF of Fractions 4294/20,7406/313 is 2/6260

2 4294, 7406
2147, 3703

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

Greatest Common Factor of 4294,7406 By Matching Biggest Common Factor Method

Greatest Common Factor of 4294,7406 By Matching Biggest Common Factor Method

Factors of 4294

List of positive integer factors of 4294 that divides 4294 without a remainder.

1,2,19,38,113,226,2147,4294

Factors of 7406

List of positive integer factors of 7406 that divides 7406 without a remainder.

1,2,7,14,23,46,161,322,529,1058,3703,7406

Greatest Common Factor

We found the factors 4294,7406 . The biggest common factor number is the GCF number.
So the greatest common factor 4294,7406 is 2.

Lets's calculate LCM of 20,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 6260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6260

Therefore, the GCF of Fractions 4294/20,7406/313 is 2/6260

Least Common Multiple of 20,313 with GCF Formula

Least Common Multiple of 20,313 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 20,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,313) = 1

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

GCF(20,313) x common factors =1 x 1 = 1

LCM(20,313) = ( 20 × 313 ) / 1

LCM(20,313) = 6260 / 1

LCM(20,313) = 6260


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 4294/20, 7406/313

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 4294/20, 7406/313?

Answer: GCF of Numerators as per given numbers 4294/20, 7406/313 is

GCF of Numerators i.e. for 4294,7406 is 2

LCM of denominators i.e. for 20,313 is 6260.

Thus, GCF of Fractions is 2/6260.Finally, GCF of Fractions for 4294/20, 7406/313 is 2/6260.