Greatest Common Factor of 46/505, 105/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/505, 105/193

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 46/505,105/193

Given fractions are 46/505,105/193

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 46,105

Greatest Common Factor of Numerators i.e. GCF of 46,105 is 1 .

LCM of Denominators means LCM of 505,193 as per the given fractions.

LCM of 505,193 is 97465 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,105

GCF of Fractions 46/505,105/193 is 1/97465

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

Greatest Common Factor of 46,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,105 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 46,105 . The biggest common factor number is the GCF number.
So the greatest common factor 46,105 is 1.

Lets's calculate LCM of 505,193

Given numbers has no common factors except 1. So, there LCM is their product i.e 97465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97465

Therefore, the GCF of Fractions 46/505,105/193 is 1/97465

Least Common Multiple of 505,193 with GCF Formula

Least Common Multiple of 505,193 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 505,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,193) = 1

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

GCF(505,193) x common factors =1 x 1 = 1

LCM(505,193) = ( 505 × 193 ) / 1

LCM(505,193) = 97465 / 1

LCM(505,193) = 97465


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 46/505, 105/193

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 46/505, 105/193?

Answer: GCF of Numerators as per given numbers 46/505, 105/193 is

GCF of Numerators i.e. for 46,105 is 1

LCM of denominators i.e. for 505,193 is 97465.

Thus, GCF of Fractions is 1/97465.Finally, GCF of Fractions for 46/505, 105/193 is 1/97465.