Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 301/73,188/23,764/13
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 301,188,764
Greatest Common Factor of Numerators i.e. GCF of 301,188,764 is 1 .
LCM of Denominators means LCM of 73,23,13 as per the given fractions.
LCM of 73,23,13 is 21827 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 301,188,764
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Greatest Common Factor
We found the factors 301,188,764 . The biggest common factor number is the GCF number.
So the greatest common factor 301,188,764 is 1.
Lets's calculate LCM of 73,23,13
Given numbers has no common factors except 1. So, there LCM is their product i.e 21827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21827
Therefore, the GCF of Fractions 301/73,188/23,764/13 is 1/21827
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 73,23,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,23,13) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,23,13) x common factors =1 x 1 = 1
LCM(73,23,13) = ( 73 × 23 × 13 ) / 1
LCM(73,23,13) = 21827 / 1
LCM(73,23,13) = 21827
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 301/73, 188/23, 764/13?
Answer: GCF of Numerators as per given numbers 301/73, 188/23, 764/13 is
GCF of Numerators i.e. for 301,188,764 is 1
LCM of denominators i.e. for 73,23,13 is 21827.
Thus, GCF of Fractions is 1/21827.Finally, GCF of Fractions for 301/73, 188/23, 764/13 is 1/21827.