Greatest Common Factor of 355/226, 485/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 355/226, 485/338

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 355/226,485/338

Given fractions are 355/226,485/338

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 355,485

Greatest Common Factor of Numerators i.e. GCF of 355,485 is 5 .

LCM of Denominators means LCM of 226,338 as per the given fractions.

LCM of 226,338 is 38194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 355,485

GCF of Fractions 355/226,485/338 is 5/38194

5 355, 485
71, 97

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 355,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,485 By Matching Biggest Common Factor Method

Factors of 355

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

1,5,71,355

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 355,485 . The biggest common factor number is the GCF number.
So the greatest common factor 355,485 is 5.

Lets's calculate LCM of 226,338

2 226, 338
113, 169

∴ So the LCM of the given numbers is 2 x 113 x 169 = 38194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/38194

Therefore, the GCF of Fractions 355/226,485/338 is 5/38194

Least Common Multiple of 226,338 with GCF Formula

Least Common Multiple of 226,338 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 226,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,338) = 2

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

GCF(226,338) x common factors =2 x 1 = 2

LCM(226,338) = ( 226 × 338 ) / 2

LCM(226,338) = 76388 / 2

LCM(226,338) = 38194


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 355/226, 485/338

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 355/226, 485/338?

Answer: GCF of Numerators as per given numbers 355/226, 485/338 is

GCF of Numerators i.e. for 355,485 is 5

LCM of denominators i.e. for 226,338 is 38194.

Thus, GCF of Fractions is 5/38194.Finally, GCF of Fractions for 355/226, 485/338 is 5/38194.