Greatest Common Factor of 442/30, 258/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 442/30, 258/285

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 442/30,258/285

Given fractions are 442/30,258/285

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 442,258

Greatest Common Factor of Numerators i.e. GCF of 442,258 is 2 .

LCM of Denominators means LCM of 30,285 as per the given fractions.

LCM of 30,285 is 570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 442,258

GCF of Fractions 442/30,258/285 is 2/570

2 442, 258
221, 129

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

Greatest Common Factor of 442,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,258 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 442,258 . The biggest common factor number is the GCF number.
So the greatest common factor 442,258 is 2.

Lets's calculate LCM of 30,285

3 30, 285
5 10, 95
2, 19

∴ So the LCM of the given numbers is 3 x 5 x 2 x 19 = 570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/570

Therefore, the GCF of Fractions 442/30,258/285 is 2/570

Least Common Multiple of 30,285 with GCF Formula

Least Common Multiple of 30,285 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 30,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,285) = 15

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

GCF(30,285) x common factors =15 x 1 = 15

LCM(30,285) = ( 30 × 285 ) / 15

LCM(30,285) = 8550 / 15

LCM(30,285) = 570


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 442/30, 258/285

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 442/30, 258/285?

Answer: GCF of Numerators as per given numbers 442/30, 258/285 is

GCF of Numerators i.e. for 442,258 is 2

LCM of denominators i.e. for 30,285 is 570.

Thus, GCF of Fractions is 2/570.Finally, GCF of Fractions for 442/30, 258/285 is 2/570.