Greatest Common Factor of 284/511, 258/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 284/511, 258/272

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 284/511,258/272

Given fractions are 284/511,258/272

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 284,258

Greatest Common Factor of Numerators i.e. GCF of 284,258 is 2 .

LCM of Denominators means LCM of 511,272 as per the given fractions.

LCM of 511,272 is 138992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 284,258

GCF of Fractions 284/511,258/272 is 2/138992

2 284, 258
142, 129

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

Greatest Common Factor of 284,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,258 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

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 284,258 . The biggest common factor number is the GCF number.
So the greatest common factor 284,258 is 2.

Lets's calculate LCM of 511,272

Given numbers has no common factors except 1. So, there LCM is their product i.e 138992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/138992

Therefore, the GCF of Fractions 284/511,258/272 is 2/138992

Least Common Multiple of 511,272 with GCF Formula

Least Common Multiple of 511,272 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 511,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,272) = 1

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

GCF(511,272) x common factors =1 x 1 = 1

LCM(511,272) = ( 511 × 272 ) / 1

LCM(511,272) = 138992 / 1

LCM(511,272) = 138992


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 284/511, 258/272

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 284/511, 258/272?

Answer: GCF of Numerators as per given numbers 284/511, 258/272 is

GCF of Numerators i.e. for 284,258 is 2

LCM of denominators i.e. for 511,272 is 138992.

Thus, GCF of Fractions is 2/138992.Finally, GCF of Fractions for 284/511, 258/272 is 2/138992.