Greatest Common Factor of 2090/59, 6990/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2090/59, 6990/390

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 2090/59,6990/390

Given fractions are 2090/59,6990/390

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 2090,6990

Greatest Common Factor of Numerators i.e. GCF of 2090,6990 is 10 .

LCM of Denominators means LCM of 59,390 as per the given fractions.

LCM of 59,390 is 23010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2090,6990

GCF of Fractions 2090/59,6990/390 is 10/23010

2 2090, 6990
5 1045, 3495
209, 699

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 2090,6990 By Matching Biggest Common Factor Method

Greatest Common Factor of 2090,6990 By Matching Biggest Common Factor Method

Factors of 2090

List of positive integer factors of 2090 that divides 2090 without a remainder.

1,2,5,10,11,19,22,38,55,95,110,190,209,418,1045,2090

Factors of 6990

List of positive integer factors of 6990 that divides 6990 without a remainder.

1,2,3,5,6,10,15,30,233,466,699,1165,1398,2330,3495,6990

Greatest Common Factor

We found the factors 2090,6990 . The biggest common factor number is the GCF number.
So the greatest common factor 2090,6990 is 10.

Lets's calculate LCM of 59,390

Given numbers has no common factors except 1. So, there LCM is their product i.e 23010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/23010

Therefore, the GCF of Fractions 2090/59,6990/390 is 10/23010

Least Common Multiple of 59,390 with GCF Formula

Least Common Multiple of 59,390 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 59,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,390) = 1

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

GCF(59,390) x common factors =1 x 1 = 1

LCM(59,390) = ( 59 × 390 ) / 1

LCM(59,390) = 23010 / 1

LCM(59,390) = 23010


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 2090/59, 6990/390

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 2090/59, 6990/390?

Answer: GCF of Numerators as per given numbers 2090/59, 6990/390 is

GCF of Numerators i.e. for 2090,6990 is 10

LCM of denominators i.e. for 59,390 is 23010.

Thus, GCF of Fractions is 10/23010.Finally, GCF of Fractions for 2090/59, 6990/390 is 10/23010.