Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4402/995,1833/4476
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 4402,1833
Greatest Common Factor of Numerators i.e. GCF of 4402,1833 is 1 .
LCM of Denominators means LCM of 995,4476 as per the given fractions.
LCM of 995,4476 is 4453620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4402,1833
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4402
List of positive integer factors of 4402 that divides 4402 without a remainder.
1,2,31,62,71,142,2201,4402
Factors of 1833
List of positive integer factors of 1833 that divides 1833 without a remainder.
1,3,13,39,47,141,611,1833
Greatest Common Factor
We found the factors 4402,1833 . The biggest common factor number is the GCF number.
So the greatest common factor 4402,1833 is 1.
Lets's calculate LCM of 995,4476
Given numbers has no common factors except 1. So, there LCM is their product i.e 4453620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4453620
Therefore, the GCF of Fractions 4402/995,1833/4476 is 1/4453620
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 995,4476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,4476) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,4476) x common factors =1 x 1 = 1
LCM(995,4476) = ( 995 × 4476 ) / 1
LCM(995,4476) = 4453620 / 1
LCM(995,4476) = 4453620
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 4402/995, 1833/4476?
Answer: GCF of Numerators as per given numbers 4402/995, 1833/4476 is
GCF of Numerators i.e. for 4402,1833 is 1
LCM of denominators i.e. for 995,4476 is 4453620.
Thus, GCF of Fractions is 1/4453620.Finally, GCF of Fractions for 4402/995, 1833/4476 is 1/4453620.