Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4437/47,1061/390
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 4437,1061
Greatest Common Factor of Numerators i.e. GCF of 4437,1061 is 1 .
LCM of Denominators means LCM of 47,390 as per the given fractions.
LCM of 47,390 is 18330 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4437,1061
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4437
List of positive integer factors of 4437 that divides 4437 without a remainder.
1,3,9,17,29,51,87,153,261,493,1479,4437
Factors of 1061
List of positive integer factors of 1061 that divides 1061 without a remainder.
1,1061
Greatest Common Factor
We found the factors 4437,1061 . The biggest common factor number is the GCF number.
So the greatest common factor 4437,1061 is 1.
Lets's calculate LCM of 47,390
Given numbers has no common factors except 1. So, there LCM is their product i.e 18330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18330
Therefore, the GCF of Fractions 4437/47,1061/390 is 1/18330
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 47,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,390) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,390) x common factors =1 x 1 = 1
LCM(47,390) = ( 47 × 390 ) / 1
LCM(47,390) = 18330 / 1
LCM(47,390) = 18330
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 4437/47, 1061/390?
Answer: GCF of Numerators as per given numbers 4437/47, 1061/390 is
GCF of Numerators i.e. for 4437,1061 is 1
LCM of denominators i.e. for 47,390 is 18330.
Thus, GCF of Fractions is 1/18330.Finally, GCF of Fractions for 4437/47, 1061/390 is 1/18330.