Greatest Common Factor of 1014/981, 3113/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1014/981, 3113/989

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 1014/981,3113/989

Given fractions are 1014/981,3113/989

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 1014,3113

Greatest Common Factor of Numerators i.e. GCF of 1014,3113 is 1 .

LCM of Denominators means LCM of 981,989 as per the given fractions.

LCM of 981,989 is 970209 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1014,3113

GCF of Fractions 1014/981,3113/989 is 1/970209

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

Greatest Common Factor of 1014,3113 By Matching Biggest Common Factor Method

Greatest Common Factor of 1014,3113 By Matching Biggest Common Factor Method

Factors of 1014

List of positive integer factors of 1014 that divides 1014 without a remainder.

1,2,3,6,13,26,39,78,169,338,507,1014

Factors of 3113

List of positive integer factors of 3113 that divides 3113 without a remainder.

1,11,283,3113

Greatest Common Factor

We found the factors 1014,3113 . The biggest common factor number is the GCF number.
So the greatest common factor 1014,3113 is 1.

Lets's calculate LCM of 981,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 970209

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/970209

Therefore, the GCF of Fractions 1014/981,3113/989 is 1/970209

Least Common Multiple of 981,989 with GCF Formula

Least Common Multiple of 981,989 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 981,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,989) = 1

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

GCF(981,989) x common factors =1 x 1 = 1

LCM(981,989) = ( 981 × 989 ) / 1

LCM(981,989) = 970209 / 1

LCM(981,989) = 970209


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 1014/981, 3113/989

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 1014/981, 3113/989?

Answer: GCF of Numerators as per given numbers 1014/981, 3113/989 is

GCF of Numerators i.e. for 1014,3113 is 1

LCM of denominators i.e. for 981,989 is 970209.

Thus, GCF of Fractions is 1/970209.Finally, GCF of Fractions for 1014/981, 3113/989 is 1/970209.