Greatest Common Factor of 194/245, 338/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 194/245, 338/415

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 194/245,338/415

Given fractions are 194/245,338/415

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 194,338

Greatest Common Factor of Numerators i.e. GCF of 194,338 is 2 .

LCM of Denominators means LCM of 245,415 as per the given fractions.

LCM of 245,415 is 20335 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 194,338

GCF of Fractions 194/245,338/415 is 2/20335

2 194, 338
97, 169

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

Greatest Common Factor of 194,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,338 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 338

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

1,2,13,26,169,338

Greatest Common Factor

We found the factors 194,338 . The biggest common factor number is the GCF number.
So the greatest common factor 194,338 is 2.

Lets's calculate LCM of 245,415

5 245, 415
49, 83

∴ So the LCM of the given numbers is 5 x 49 x 83 = 20335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20335

Therefore, the GCF of Fractions 194/245,338/415 is 2/20335

Least Common Multiple of 245,415 with GCF Formula

Least Common Multiple of 245,415 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 245,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,415) = 5

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

GCF(245,415) x common factors =5 x 1 = 5

LCM(245,415) = ( 245 × 415 ) / 5

LCM(245,415) = 101675 / 5

LCM(245,415) = 20335


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 194/245, 338/415

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 194/245, 338/415?

Answer: GCF of Numerators as per given numbers 194/245, 338/415 is

GCF of Numerators i.e. for 194,338 is 2

LCM of denominators i.e. for 245,415 is 20335.

Thus, GCF of Fractions is 2/20335.Finally, GCF of Fractions for 194/245, 338/415 is 2/20335.