Greatest Common Factor of 6990/53, 3590/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6990/53, 3590/258

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 6990/53,3590/258

Given fractions are 6990/53,3590/258

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 6990,3590

Greatest Common Factor of Numerators i.e. GCF of 6990,3590 is 10 .

LCM of Denominators means LCM of 53,258 as per the given fractions.

LCM of 53,258 is 13674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6990,3590

GCF of Fractions 6990/53,3590/258 is 10/13674

2 6990, 3590
5 3495, 1795
699, 359

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

Greatest Common Factor of 6990,3590 By Matching Biggest Common Factor Method

Greatest Common Factor of 6990,3590 By Matching Biggest Common Factor Method

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

Factors of 3590

List of positive integer factors of 3590 that divides 3590 without a remainder.

1,2,5,10,359,718,1795,3590

Greatest Common Factor

We found the factors 6990,3590 . The biggest common factor number is the GCF number.
So the greatest common factor 6990,3590 is 10.

Lets's calculate LCM of 53,258

Given numbers has no common factors except 1. So, there LCM is their product i.e 13674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/13674

Therefore, the GCF of Fractions 6990/53,3590/258 is 10/13674

Least Common Multiple of 53,258 with GCF Formula

Least Common Multiple of 53,258 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 53,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,258) = 1

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

GCF(53,258) x common factors =1 x 1 = 1

LCM(53,258) = ( 53 × 258 ) / 1

LCM(53,258) = 13674 / 1

LCM(53,258) = 13674


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 6990/53, 3590/258

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 6990/53, 3590/258?

Answer: GCF of Numerators as per given numbers 6990/53, 3590/258 is

GCF of Numerators i.e. for 6990,3590 is 10

LCM of denominators i.e. for 53,258 is 13674.

Thus, GCF of Fractions is 10/13674.Finally, GCF of Fractions for 6990/53, 3590/258 is 10/13674.