Greatest Common Factor of 30/69, 10/30, 998/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/69, 10/30, 998/510

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 30/69,10/30,998/510

Given fractions are 30/69,10/30,998/510

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 30,10,998

Greatest Common Factor of Numerators i.e. GCF of 30,10,998 is 2 .

LCM of Denominators means LCM of 69,30,510 as per the given fractions.

LCM of 69,30,510 is 11730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,10,998

GCF of Fractions 30/69,10/30,998/510 is 2/11730

2 30, 10, 998
15, 5, 499

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 30,10,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,10,998 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 30,10,998 . The biggest common factor number is the GCF number.
So the greatest common factor 30,10,998 is 2.

Lets's calculate LCM of 69,30,510

2 69, 30, 510
3 69, 15, 255
5 23, 5, 85
23, 1, 17

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 1 x 17 = 11730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11730

Therefore, the GCF of Fractions 30/69,10/30,998/510 is 2/11730

Least Common Multiple of 69,30,510 with GCF Formula

Least Common Multiple of 69,30,510 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 69,30,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,30,510) = 3

common factors(in case of two or more numbers have common factors) = 30

GCF(69,30,510) x common factors =3 x 30 = 90

LCM(69,30,510) = ( 69 × 30 × 510 ) / 90

LCM(69,30,510) = 1055700 / 90

LCM(69,30,510) = 11730


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 30/69, 10/30, 998/510

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 30/69, 10/30, 998/510?

Answer: GCF of Numerators as per given numbers 30/69, 10/30, 998/510 is

GCF of Numerators i.e. for 30,10,998 is 2

LCM of denominators i.e. for 69,30,510 is 11730.

Thus, GCF of Fractions is 2/11730.Finally, GCF of Fractions for 30/69, 10/30, 998/510 is 2/11730.