Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 225/19,500/9944
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 225,500
Greatest Common Factor of Numerators i.e. GCF of 225,500 is 25 .
LCM of Denominators means LCM of 19,9944 as per the given fractions.
LCM of 19,9944 is 188936 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 225,500
5 | 225, 500 |
5 | 45, 100 |
9, 20 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 225,500 . The biggest common factor number is the GCF number.
So the greatest common factor 225,500 is 25.
Lets's calculate LCM of 19,9944
Given numbers has no common factors except 1. So, there LCM is their product i.e 188936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/188936
Therefore, the GCF of Fractions 225/19,500/9944 is 25/188936
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 19,9944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,9944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,9944) x common factors =1 x 1 = 1
LCM(19,9944) = ( 19 × 9944 ) / 1
LCM(19,9944) = 188936 / 1
LCM(19,9944) = 188936
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 225/19, 500/9944?
Answer: GCF of Numerators as per given numbers 225/19, 500/9944 is
GCF of Numerators i.e. for 225,500 is 25
LCM of denominators i.e. for 19,9944 is 188936.
Thus, GCF of Fractions is 25/188936.Finally, GCF of Fractions for 225/19, 500/9944 is 25/188936.