Greatest Common Factor of 2997/992, 5130/1288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2997/992, 5130/1288

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 2997/992,5130/1288

Given fractions are 2997/992,5130/1288

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 2997,5130

Greatest Common Factor of Numerators i.e. GCF of 2997,5130 is 27 .

LCM of Denominators means LCM of 992,1288 as per the given fractions.

LCM of 992,1288 is 159712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2997,5130

GCF of Fractions 2997/992,5130/1288 is 27/159712

3 2997, 5130
3 999, 1710
3 333, 570
111, 190

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 2997,5130 By Matching Biggest Common Factor Method

Greatest Common Factor of 2997,5130 By Matching Biggest Common Factor Method

Factors of 2997

List of positive integer factors of 2997 that divides 2997 without a remainder.

1,3,9,27,37,81,111,333,999,2997

Factors of 5130

List of positive integer factors of 5130 that divides 5130 without a remainder.

1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130

Greatest Common Factor

We found the factors 2997,5130 . The biggest common factor number is the GCF number.
So the greatest common factor 2997,5130 is 27.

Lets's calculate LCM of 992,1288

2 992, 1288
2 496, 644
2 248, 322
124, 161

∴ So the LCM of the given numbers is 2 x 2 x 2 x 124 x 161 = 159712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/159712

Therefore, the GCF of Fractions 2997/992,5130/1288 is 27/159712

Least Common Multiple of 992,1288 with GCF Formula

Least Common Multiple of 992,1288 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 992,1288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,1288) = 8

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

GCF(992,1288) x common factors =8 x 1 = 8

LCM(992,1288) = ( 992 × 1288 ) / 8

LCM(992,1288) = 1277696 / 8

LCM(992,1288) = 159712


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 2997/992, 5130/1288

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 2997/992, 5130/1288?

Answer: GCF of Numerators as per given numbers 2997/992, 5130/1288 is

GCF of Numerators i.e. for 2997,5130 is 27

LCM of denominators i.e. for 992,1288 is 159712.

Thus, GCF of Fractions is 27/159712.Finally, GCF of Fractions for 2997/992, 5130/1288 is 27/159712.