Greatest Common Factor of 402/30, 572/9900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 402/30, 572/9900

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 402/30,572/9900

Given fractions are 402/30,572/9900

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 402,572

Greatest Common Factor of Numerators i.e. GCF of 402,572 is 2 .

LCM of Denominators means LCM of 30,9900 as per the given fractions.

LCM of 30,9900 is 9900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 402,572

GCF of Fractions 402/30,572/9900 is 2/9900

2 402, 572
201, 286

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

Greatest Common Factor of 402,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,572 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 402,572 . The biggest common factor number is the GCF number.
So the greatest common factor 402,572 is 2.

Lets's calculate LCM of 30,9900

2 30, 9900
3 15, 4950
5 5, 1650
1, 330

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 330 = 9900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9900

Therefore, the GCF of Fractions 402/30,572/9900 is 2/9900

Least Common Multiple of 30,9900 with GCF Formula

Least Common Multiple of 30,9900 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 30,9900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,9900) = 30

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

GCF(30,9900) x common factors =30 x 1 = 30

LCM(30,9900) = ( 30 × 9900 ) / 30

LCM(30,9900) = 297000 / 30

LCM(30,9900) = 9900


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 402/30, 572/9900

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 402/30, 572/9900?

Answer: GCF of Numerators as per given numbers 402/30, 572/9900 is

GCF of Numerators i.e. for 402,572 is 2

LCM of denominators i.e. for 30,9900 is 9900.

Thus, GCF of Fractions is 2/9900.Finally, GCF of Fractions for 402/30, 572/9900 is 2/9900.