Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 721/901,4404/5707
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 721,4404
Greatest Common Factor of Numerators i.e. GCF of 721,4404 is 1 .
LCM of Denominators means LCM of 901,5707 as per the given fractions.
LCM of 901,5707 is 5142007 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 721,4404
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 4404
List of positive integer factors of 4404 that divides 4404 without a remainder.
1,2,3,4,6,12,367,734,1101,1468,2202,4404
Greatest Common Factor
We found the factors 721,4404 . The biggest common factor number is the GCF number.
So the greatest common factor 721,4404 is 1.
Lets's calculate LCM of 901,5707
Given numbers has no common factors except 1. So, there LCM is their product i.e 5142007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5142007
Therefore, the GCF of Fractions 721/901,4404/5707 is 1/5142007
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 901,5707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,5707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,5707) x common factors =1 x 1 = 1
LCM(901,5707) = ( 901 × 5707 ) / 1
LCM(901,5707) = 5142007 / 1
LCM(901,5707) = 5142007
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 721/901, 4404/5707?
Answer: GCF of Numerators as per given numbers 721/901, 4404/5707 is
GCF of Numerators i.e. for 721,4404 is 1
LCM of denominators i.e. for 901,5707 is 5142007.
Thus, GCF of Fractions is 1/5142007.Finally, GCF of Fractions for 721/901, 4404/5707 is 1/5142007.