Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/319,44/408,827/721
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 93,44,827
Greatest Common Factor of Numerators i.e. GCF of 93,44,827 is 1 .
LCM of Denominators means LCM of 319,408,721 as per the given fractions.
LCM of 319,408,721 is 93839592 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,44,827
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Greatest Common Factor
We found the factors 93,44,827 . The biggest common factor number is the GCF number.
So the greatest common factor 93,44,827 is 1.
Lets's calculate LCM of 319,408,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 93839592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93839592
Therefore, the GCF of Fractions 93/319,44/408,827/721 is 1/93839592
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 319,408,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,408,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,408,721) x common factors =1 x 1 = 1
LCM(319,408,721) = ( 319 × 408 × 721 ) / 1
LCM(319,408,721) = 93839592 / 1
LCM(319,408,721) = 93839592
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 93/319, 44/408, 827/721?
Answer: GCF of Numerators as per given numbers 93/319, 44/408, 827/721 is
GCF of Numerators i.e. for 93,44,827 is 1
LCM of denominators i.e. for 319,408,721 is 93839592.
Thus, GCF of Fractions is 1/93839592.Finally, GCF of Fractions for 93/319, 44/408, 827/721 is 1/93839592.