Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9096/514,4260/901
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 9096,4260
Greatest Common Factor of Numerators i.e. GCF of 9096,4260 is 12 .
LCM of Denominators means LCM of 514,901 as per the given fractions.
LCM of 514,901 is 463114 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9096,4260
2 | 9096, 4260 |
2 | 4548, 2130 |
3 | 2274, 1065 |
758, 355 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 9096
List of positive integer factors of 9096 that divides 9096 without a remainder.
1,2,3,4,6,8,12,24,379,758,1137,1516,2274,3032,4548,9096
Factors of 4260
List of positive integer factors of 4260 that divides 4260 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,71,142,213,284,355,426,710,852,1065,1420,2130,4260
Greatest Common Factor
We found the factors 9096,4260 . The biggest common factor number is the GCF number.
So the greatest common factor 9096,4260 is 12.
Lets's calculate LCM of 514,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 463114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/463114
Therefore, the GCF of Fractions 9096/514,4260/901 is 12/463114
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 514,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,901) x common factors =1 x 1 = 1
LCM(514,901) = ( 514 × 901 ) / 1
LCM(514,901) = 463114 / 1
LCM(514,901) = 463114
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 9096/514, 4260/901?
Answer: GCF of Numerators as per given numbers 9096/514, 4260/901 is
GCF of Numerators i.e. for 9096,4260 is 12
LCM of denominators i.e. for 514,901 is 463114.
Thus, GCF of Fractions is 12/463114.Finally, GCF of Fractions for 9096/514, 4260/901 is 12/463114.