Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 32/23,163/99,642/326
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 32,163,642
Greatest Common Factor of Numerators i.e. GCF of 32,163,642 is 1 .
LCM of Denominators means LCM of 23,99,326 as per the given fractions.
LCM of 23,99,326 is 742302 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 32,163,642
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 32,163,642 . The biggest common factor number is the GCF number.
So the greatest common factor 32,163,642 is 1.
Lets's calculate LCM of 23,99,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 742302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/742302
Therefore, the GCF of Fractions 32/23,163/99,642/326 is 1/742302
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 23,99,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,99,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,99,326) x common factors =1 x 1 = 1
LCM(23,99,326) = ( 23 × 99 × 326 ) / 1
LCM(23,99,326) = 742302 / 1
LCM(23,99,326) = 742302
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 32/23, 163/99, 642/326?
Answer: GCF of Numerators as per given numbers 32/23, 163/99, 642/326 is
GCF of Numerators i.e. for 32,163,642 is 1
LCM of denominators i.e. for 23,99,326 is 742302.
Thus, GCF of Fractions is 1/742302.Finally, GCF of Fractions for 32/23, 163/99, 642/326 is 1/742302.