Greatest Common Factor of 283/13, 7014/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 283/13, 7014/378

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 283/13,7014/378

Given fractions are 283/13,7014/378

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 283,7014

Greatest Common Factor of Numerators i.e. GCF of 283,7014 is 1 .

LCM of Denominators means LCM of 13,378 as per the given fractions.

LCM of 13,378 is 4914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 283,7014

GCF of Fractions 283/13,7014/378 is 1/4914

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

Greatest Common Factor of 283,7014 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,7014 By Matching Biggest Common Factor Method

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 7014

List of positive integer factors of 7014 that divides 7014 without a remainder.

1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014

Greatest Common Factor

We found the factors 283,7014 . The biggest common factor number is the GCF number.
So the greatest common factor 283,7014 is 1.

Lets's calculate LCM of 13,378

Given numbers has no common factors except 1. So, there LCM is their product i.e 4914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4914

Therefore, the GCF of Fractions 283/13,7014/378 is 1/4914

Least Common Multiple of 13,378 with GCF Formula

Least Common Multiple of 13,378 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 13,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,378) = 1

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

GCF(13,378) x common factors =1 x 1 = 1

LCM(13,378) = ( 13 × 378 ) / 1

LCM(13,378) = 4914 / 1

LCM(13,378) = 4914


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 283/13, 7014/378

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 283/13, 7014/378?

Answer: GCF of Numerators as per given numbers 283/13, 7014/378 is

GCF of Numerators i.e. for 283,7014 is 1

LCM of denominators i.e. for 13,378 is 4914.

Thus, GCF of Fractions is 1/4914.Finally, GCF of Fractions for 283/13, 7014/378 is 1/4914.