Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8306/61,6812/361
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 8306,6812
Greatest Common Factor of Numerators i.e. GCF of 8306,6812 is 2 .
LCM of Denominators means LCM of 61,361 as per the given fractions.
LCM of 61,361 is 22021 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8306,6812
2 | 8306, 6812 |
4153, 3406 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8306
List of positive integer factors of 8306 that divides 8306 without a remainder.
1,2,4153,8306
Factors of 6812
List of positive integer factors of 6812 that divides 6812 without a remainder.
1,2,4,13,26,52,131,262,524,1703,3406,6812
Greatest Common Factor
We found the factors 8306,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 8306,6812 is 2.
Lets's calculate LCM of 61,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 22021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22021
Therefore, the GCF of Fractions 8306/61,6812/361 is 2/22021
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 61,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,361) x common factors =1 x 1 = 1
LCM(61,361) = ( 61 × 361 ) / 1
LCM(61,361) = 22021 / 1
LCM(61,361) = 22021
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 8306/61, 6812/361?
Answer: GCF of Numerators as per given numbers 8306/61, 6812/361 is
GCF of Numerators i.e. for 8306,6812 is 2
LCM of denominators i.e. for 61,361 is 22021.
Thus, GCF of Fractions is 2/22021.Finally, GCF of Fractions for 8306/61, 6812/361 is 2/22021.