Greatest Common Factor of 338/450, 355/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 338/450, 355/463

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 338/450,355/463

Given fractions are 338/450,355/463

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 338,355

Greatest Common Factor of Numerators i.e. GCF of 338,355 is 1 .

LCM of Denominators means LCM of 450,463 as per the given fractions.

LCM of 450,463 is 208350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 338,355

GCF of Fractions 338/450,355/463 is 1/208350

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

Greatest Common Factor of 338,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,355 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 338,355 . The biggest common factor number is the GCF number.
So the greatest common factor 338,355 is 1.

Lets's calculate LCM of 450,463

Given numbers has no common factors except 1. So, there LCM is their product i.e 208350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208350

Therefore, the GCF of Fractions 338/450,355/463 is 1/208350

Least Common Multiple of 450,463 with GCF Formula

Least Common Multiple of 450,463 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 450,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,463) = 1

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

GCF(450,463) x common factors =1 x 1 = 1

LCM(450,463) = ( 450 × 463 ) / 1

LCM(450,463) = 208350 / 1

LCM(450,463) = 208350


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 338/450, 355/463

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 338/450, 355/463?

Answer: GCF of Numerators as per given numbers 338/450, 355/463 is

GCF of Numerators i.e. for 338,355 is 1

LCM of denominators i.e. for 450,463 is 208350.

Thus, GCF of Fractions is 1/208350.Finally, GCF of Fractions for 338/450, 355/463 is 1/208350.