Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 640/305,5085/981
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 640,5085
Greatest Common Factor of Numerators i.e. GCF of 640,5085 is 5 .
LCM of Denominators means LCM of 305,981 as per the given fractions.
LCM of 305,981 is 299205 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 640,5085
5 | 640, 5085 |
128, 1017 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 5085
List of positive integer factors of 5085 that divides 5085 without a remainder.
1,3,5,9,15,45,113,339,565,1017,1695,5085
Greatest Common Factor
We found the factors 640,5085 . The biggest common factor number is the GCF number.
So the greatest common factor 640,5085 is 5.
Lets's calculate LCM of 305,981
Given numbers has no common factors except 1. So, there LCM is their product i.e 299205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/299205
Therefore, the GCF of Fractions 640/305,5085/981 is 5/299205
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 305,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,981) x common factors =1 x 1 = 1
LCM(305,981) = ( 305 × 981 ) / 1
LCM(305,981) = 299205 / 1
LCM(305,981) = 299205
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 640/305, 5085/981?
Answer: GCF of Numerators as per given numbers 640/305, 5085/981 is
GCF of Numerators i.e. for 640,5085 is 5
LCM of denominators i.e. for 305,981 is 299205.
Thus, GCF of Fractions is 5/299205.Finally, GCF of Fractions for 640/305, 5085/981 is 5/299205.