Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7502/581,6050/189
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 7502,6050
Greatest Common Factor of Numerators i.e. GCF of 7502,6050 is 242 .
LCM of Denominators means LCM of 581,189 as per the given fractions.
LCM of 581,189 is 15687 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7502,6050
2 | 7502, 6050 |
11 | 3751, 3025 |
11 | 341, 275 |
31, 25 |
∴ So the GCF of the given numbers is 2 x 11 x 11 = 242
Factors of 7502
List of positive integer factors of 7502 that divides 7502 without a remainder.
1,2,11,22,31,62,121,242,341,682,3751,7502
Factors of 6050
List of positive integer factors of 6050 that divides 6050 without a remainder.
1,2,5,10,11,22,25,50,55,110,121,242,275,550,605,1210,3025,6050
Greatest Common Factor
We found the factors 7502,6050 . The biggest common factor number is the GCF number.
So the greatest common factor 7502,6050 is 242.
Lets's calculate LCM of 581,189
7 | 581, 189 |
83, 27 |
∴ So the LCM of the given numbers is 7 x 83 x 27 = 15687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 242/15687
Therefore, the GCF of Fractions 7502/581,6050/189 is 242/15687
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 581,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,189) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(581,189) x common factors =7 x 1 = 7
LCM(581,189) = ( 581 × 189 ) / 7
LCM(581,189) = 109809 / 7
LCM(581,189) = 15687
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 7502/581, 6050/189?
Answer: GCF of Numerators as per given numbers 7502/581, 6050/189 is
GCF of Numerators i.e. for 7502,6050 is 242
LCM of denominators i.e. for 581,189 is 15687.
Thus, GCF of Fractions is 242/15687.Finally, GCF of Fractions for 7502/581, 6050/189 is 242/15687.