Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6459/36,9420/388
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 6459,9420
Greatest Common Factor of Numerators i.e. GCF of 6459,9420 is 3 .
LCM of Denominators means LCM of 36,388 as per the given fractions.
LCM of 36,388 is 3492 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6459,9420
3 | 6459, 9420 |
2153, 3140 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6459
List of positive integer factors of 6459 that divides 6459 without a remainder.
1,3,2153,6459
Factors of 9420
List of positive integer factors of 9420 that divides 9420 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420
Greatest Common Factor
We found the factors 6459,9420 . The biggest common factor number is the GCF number.
So the greatest common factor 6459,9420 is 3.
Lets's calculate LCM of 36,388
2 | 36, 388 |
2 | 18, 194 |
9, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 9 x 97 = 3492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3492
Therefore, the GCF of Fractions 6459/36,9420/388 is 3/3492
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 36,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,388) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(36,388) x common factors =4 x 1 = 4
LCM(36,388) = ( 36 × 388 ) / 4
LCM(36,388) = 13968 / 4
LCM(36,388) = 3492
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 6459/36, 9420/388?
Answer: GCF of Numerators as per given numbers 6459/36, 9420/388 is
GCF of Numerators i.e. for 6459,9420 is 3
LCM of denominators i.e. for 36,388 is 3492.
Thus, GCF of Fractions is 3/3492.Finally, GCF of Fractions for 6459/36, 9420/388 is 3/3492.