Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5215/31,2930/875
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 5215,2930
Greatest Common Factor of Numerators i.e. GCF of 5215,2930 is 5 .
LCM of Denominators means LCM of 31,875 as per the given fractions.
LCM of 31,875 is 27125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5215,2930
5 | 5215, 2930 |
1043, 586 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 5215
List of positive integer factors of 5215 that divides 5215 without a remainder.
1,5,7,35,149,745,1043,5215
Factors of 2930
List of positive integer factors of 2930 that divides 2930 without a remainder.
1,2,5,10,293,586,1465,2930
Greatest Common Factor
We found the factors 5215,2930 . The biggest common factor number is the GCF number.
So the greatest common factor 5215,2930 is 5.
Lets's calculate LCM of 31,875
Given numbers has no common factors except 1. So, there LCM is their product i.e 27125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/27125
Therefore, the GCF of Fractions 5215/31,2930/875 is 5/27125
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 31,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,875) x common factors =1 x 1 = 1
LCM(31,875) = ( 31 × 875 ) / 1
LCM(31,875) = 27125 / 1
LCM(31,875) = 27125
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 5215/31, 2930/875?
Answer: GCF of Numerators as per given numbers 5215/31, 2930/875 is
GCF of Numerators i.e. for 5215,2930 is 5
LCM of denominators i.e. for 31,875 is 27125.
Thus, GCF of Fractions is 5/27125.Finally, GCF of Fractions for 5215/31, 2930/875 is 5/27125.