Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2314/990,9824/7235
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 2314,9824
Greatest Common Factor of Numerators i.e. GCF of 2314,9824 is 2 .
LCM of Denominators means LCM of 990,7235 as per the given fractions.
LCM of 990,7235 is 1432530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2314,9824
2 | 2314, 9824 |
1157, 4912 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2314
List of positive integer factors of 2314 that divides 2314 without a remainder.
1,2,13,26,89,178,1157,2314
Factors of 9824
List of positive integer factors of 9824 that divides 9824 without a remainder.
1,2,4,8,16,32,307,614,1228,2456,4912,9824
Greatest Common Factor
We found the factors 2314,9824 . The biggest common factor number is the GCF number.
So the greatest common factor 2314,9824 is 2.
Lets's calculate LCM of 990,7235
5 | 990, 7235 |
198, 1447 |
∴ So the LCM of the given numbers is 5 x 198 x 1447 = 1432530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1432530
Therefore, the GCF of Fractions 2314/990,9824/7235 is 2/1432530
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 990,7235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,7235) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(990,7235) x common factors =5 x 1 = 5
LCM(990,7235) = ( 990 × 7235 ) / 5
LCM(990,7235) = 7162650 / 5
LCM(990,7235) = 1432530
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 2314/990, 9824/7235?
Answer: GCF of Numerators as per given numbers 2314/990, 9824/7235 is
GCF of Numerators i.e. for 2314,9824 is 2
LCM of denominators i.e. for 990,7235 is 1432530.
Thus, GCF of Fractions is 2/1432530.Finally, GCF of Fractions for 2314/990, 9824/7235 is 2/1432530.