Greatest Common Factor of 283/163, 513/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 283/163, 513/408

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 283/163,513/408

Given fractions are 283/163,513/408

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 283,513

Greatest Common Factor of Numerators i.e. GCF of 283,513 is 1 .

LCM of Denominators means LCM of 163,408 as per the given fractions.

LCM of 163,408 is 66504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 283,513

GCF of Fractions 283/163,513/408 is 1/66504

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 283,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,513 By Matching Biggest Common Factor Method

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 283,513 . The biggest common factor number is the GCF number.
So the greatest common factor 283,513 is 1.

Lets's calculate LCM of 163,408

Given numbers has no common factors except 1. So, there LCM is their product i.e 66504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66504

Therefore, the GCF of Fractions 283/163,513/408 is 1/66504

Least Common Multiple of 163,408 with GCF Formula

Least Common Multiple of 163,408 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 163,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,408) = 1

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

GCF(163,408) x common factors =1 x 1 = 1

LCM(163,408) = ( 163 × 408 ) / 1

LCM(163,408) = 66504 / 1

LCM(163,408) = 66504


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 283/163, 513/408

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 283/163, 513/408?

Answer: GCF of Numerators as per given numbers 283/163, 513/408 is

GCF of Numerators i.e. for 283,513 is 1

LCM of denominators i.e. for 163,408 is 66504.

Thus, GCF of Fractions is 1/66504.Finally, GCF of Fractions for 283/163, 513/408 is 1/66504.