Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7372/445,1175/6653
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 7372,1175
Greatest Common Factor of Numerators i.e. GCF of 7372,1175 is 1 .
LCM of Denominators means LCM of 445,6653 as per the given fractions.
LCM of 445,6653 is 2960585 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7372,1175
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7372
List of positive integer factors of 7372 that divides 7372 without a remainder.
1,2,4,19,38,76,97,194,388,1843,3686,7372
Factors of 1175
List of positive integer factors of 1175 that divides 1175 without a remainder.
1,5,25,47,235,1175
Greatest Common Factor
We found the factors 7372,1175 . The biggest common factor number is the GCF number.
So the greatest common factor 7372,1175 is 1.
Lets's calculate LCM of 445,6653
Given numbers has no common factors except 1. So, there LCM is their product i.e 2960585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2960585
Therefore, the GCF of Fractions 7372/445,1175/6653 is 1/2960585
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 445,6653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,6653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(445,6653) x common factors =1 x 1 = 1
LCM(445,6653) = ( 445 × 6653 ) / 1
LCM(445,6653) = 2960585 / 1
LCM(445,6653) = 2960585
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 7372/445, 1175/6653?
Answer: GCF of Numerators as per given numbers 7372/445, 1175/6653 is
GCF of Numerators i.e. for 7372,1175 is 1
LCM of denominators i.e. for 445,6653 is 2960585.
Thus, GCF of Fractions is 1/2960585.Finally, GCF of Fractions for 7372/445, 1175/6653 is 1/2960585.