Greatest Common Factor of 2139/248, 9030/2993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2139/248, 9030/2993

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 2139/248,9030/2993

Given fractions are 2139/248,9030/2993

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 2139,9030

Greatest Common Factor of Numerators i.e. GCF of 2139,9030 is 3 .

LCM of Denominators means LCM of 248,2993 as per the given fractions.

LCM of 248,2993 is 742264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2139,9030

GCF of Fractions 2139/248,9030/2993 is 3/742264

3 2139, 9030
713, 3010

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

Greatest Common Factor of 2139,9030 By Matching Biggest Common Factor Method

Greatest Common Factor of 2139,9030 By Matching Biggest Common Factor Method

Factors of 2139

List of positive integer factors of 2139 that divides 2139 without a remainder.

1,3,23,31,69,93,713,2139

Factors of 9030

List of positive integer factors of 9030 that divides 9030 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,43,70,86,105,129,210,215,258,301,430,602,645,903,1290,1505,1806,3010,4515,9030

Greatest Common Factor

We found the factors 2139,9030 . The biggest common factor number is the GCF number.
So the greatest common factor 2139,9030 is 3.

Lets's calculate LCM of 248,2993

Given numbers has no common factors except 1. So, there LCM is their product i.e 742264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/742264

Therefore, the GCF of Fractions 2139/248,9030/2993 is 3/742264

Least Common Multiple of 248,2993 with GCF Formula

Least Common Multiple of 248,2993 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 248,2993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,2993) = 1

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

GCF(248,2993) x common factors =1 x 1 = 1

LCM(248,2993) = ( 248 × 2993 ) / 1

LCM(248,2993) = 742264 / 1

LCM(248,2993) = 742264


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 2139/248, 9030/2993

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 2139/248, 9030/2993?

Answer: GCF of Numerators as per given numbers 2139/248, 9030/2993 is

GCF of Numerators i.e. for 2139,9030 is 3

LCM of denominators i.e. for 248,2993 is 742264.

Thus, GCF of Fractions is 3/742264.Finally, GCF of Fractions for 2139/248, 9030/2993 is 3/742264.