Greatest Common Factor of 2988/365, 1013/1020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2988/365, 1013/1020

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 2988/365,1013/1020

Given fractions are 2988/365,1013/1020

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 2988,1013

Greatest Common Factor of Numerators i.e. GCF of 2988,1013 is 1 .

LCM of Denominators means LCM of 365,1020 as per the given fractions.

LCM of 365,1020 is 74460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2988,1013

GCF of Fractions 2988/365,1013/1020 is 1/74460

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

Greatest Common Factor of 2988,1013 By Matching Biggest Common Factor Method

Greatest Common Factor of 2988,1013 By Matching Biggest Common Factor Method

Factors of 2988

List of positive integer factors of 2988 that divides 2988 without a remainder.

1,2,3,4,6,9,12,18,36,83,166,249,332,498,747,996,1494,2988

Factors of 1013

List of positive integer factors of 1013 that divides 1013 without a remainder.

1,1013

Greatest Common Factor

We found the factors 2988,1013 . The biggest common factor number is the GCF number.
So the greatest common factor 2988,1013 is 1.

Lets's calculate LCM of 365,1020

5 365, 1020
73, 204

∴ So the LCM of the given numbers is 5 x 73 x 204 = 74460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74460

Therefore, the GCF of Fractions 2988/365,1013/1020 is 1/74460

Least Common Multiple of 365,1020 with GCF Formula

Least Common Multiple of 365,1020 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 365,1020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,1020) = 5

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

GCF(365,1020) x common factors =5 x 1 = 5

LCM(365,1020) = ( 365 × 1020 ) / 5

LCM(365,1020) = 372300 / 5

LCM(365,1020) = 74460


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 2988/365, 1013/1020

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 2988/365, 1013/1020?

Answer: GCF of Numerators as per given numbers 2988/365, 1013/1020 is

GCF of Numerators i.e. for 2988,1013 is 1

LCM of denominators i.e. for 365,1020 is 74460.

Thus, GCF of Fractions is 1/74460.Finally, GCF of Fractions for 2988/365, 1013/1020 is 1/74460.