Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/995,400/449,995/936
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 39,400,995
Greatest Common Factor of Numerators i.e. GCF of 39,400,995 is 1 .
LCM of Denominators means LCM of 995,449,936 as per the given fractions.
LCM of 995,449,936 is 418162680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,400,995
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Greatest Common Factor
We found the factors 39,400,995 . The biggest common factor number is the GCF number.
So the greatest common factor 39,400,995 is 1.
Lets's calculate LCM of 995,449,936
Given numbers has no common factors except 1. So, there LCM is their product i.e 418162680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/418162680
Therefore, the GCF of Fractions 39/995,400/449,995/936 is 1/418162680
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 995,449,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,449,936) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,449,936) x common factors =1 x 1 = 1
LCM(995,449,936) = ( 995 × 449 × 936 ) / 1
LCM(995,449,936) = 418162680 / 1
LCM(995,449,936) = 418162680
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 39/995, 400/449, 995/936?
Answer: GCF of Numerators as per given numbers 39/995, 400/449, 995/936 is
GCF of Numerators i.e. for 39,400,995 is 1
LCM of denominators i.e. for 995,449,936 is 418162680.
Thus, GCF of Fractions is 1/418162680.Finally, GCF of Fractions for 39/995, 400/449, 995/936 is 1/418162680.