Greatest Common Factor of 990/406, 9715/7266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 990/406, 9715/7266

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 990/406,9715/7266

Given fractions are 990/406,9715/7266

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 990,9715

Greatest Common Factor of Numerators i.e. GCF of 990,9715 is 5 .

LCM of Denominators means LCM of 406,7266 as per the given fractions.

LCM of 406,7266 is 210714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 990,9715

GCF of Fractions 990/406,9715/7266 is 5/210714

5 990, 9715
198, 1943

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 990,9715 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,9715 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 9715

List of positive integer factors of 9715 that divides 9715 without a remainder.

1,5,29,67,145,335,1943,9715

Greatest Common Factor

We found the factors 990,9715 . The biggest common factor number is the GCF number.
So the greatest common factor 990,9715 is 5.

Lets's calculate LCM of 406,7266

2 406, 7266
7 203, 3633
29, 519

∴ So the LCM of the given numbers is 2 x 7 x 29 x 519 = 210714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/210714

Therefore, the GCF of Fractions 990/406,9715/7266 is 5/210714

Least Common Multiple of 406,7266 with GCF Formula

Least Common Multiple of 406,7266 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 406,7266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,7266) = 14

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

GCF(406,7266) x common factors =14 x 1 = 14

LCM(406,7266) = ( 406 × 7266 ) / 14

LCM(406,7266) = 2949996 / 14

LCM(406,7266) = 210714


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 990/406, 9715/7266

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 990/406, 9715/7266?

Answer: GCF of Numerators as per given numbers 990/406, 9715/7266 is

GCF of Numerators i.e. for 990,9715 is 5

LCM of denominators i.e. for 406,7266 is 210714.

Thus, GCF of Fractions is 5/210714.Finally, GCF of Fractions for 990/406, 9715/7266 is 5/210714.