Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9377/50,3033/751
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 9377,3033
Greatest Common Factor of Numerators i.e. GCF of 9377,3033 is 1 .
LCM of Denominators means LCM of 50,751 as per the given fractions.
LCM of 50,751 is 37550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9377,3033
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9377
List of positive integer factors of 9377 that divides 9377 without a remainder.
1,9377
Factors of 3033
List of positive integer factors of 3033 that divides 3033 without a remainder.
1,3,9,337,1011,3033
Greatest Common Factor
We found the factors 9377,3033 . The biggest common factor number is the GCF number.
So the greatest common factor 9377,3033 is 1.
Lets's calculate LCM of 50,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 37550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37550
Therefore, the GCF of Fractions 9377/50,3033/751 is 1/37550
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 50,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,751) x common factors =1 x 1 = 1
LCM(50,751) = ( 50 × 751 ) / 1
LCM(50,751) = 37550 / 1
LCM(50,751) = 37550
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 9377/50, 3033/751?
Answer: GCF of Numerators as per given numbers 9377/50, 3033/751 is
GCF of Numerators i.e. for 9377,3033 is 1
LCM of denominators i.e. for 50,751 is 37550.
Thus, GCF of Fractions is 1/37550.Finally, GCF of Fractions for 9377/50, 3033/751 is 1/37550.