Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9372/66,9768/449
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 9372,9768
Greatest Common Factor of Numerators i.e. GCF of 9372,9768 is 132 .
LCM of Denominators means LCM of 66,449 as per the given fractions.
LCM of 66,449 is 29634 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9372,9768
2 | 9372, 9768 |
2 | 4686, 4884 |
3 | 2343, 2442 |
11 | 781, 814 |
71, 74 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132
Factors of 9372
List of positive integer factors of 9372 that divides 9372 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372
Factors of 9768
List of positive integer factors of 9768 that divides 9768 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768
Greatest Common Factor
We found the factors 9372,9768 . The biggest common factor number is the GCF number.
So the greatest common factor 9372,9768 is 132.
Lets's calculate LCM of 66,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 29634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 132/29634
Therefore, the GCF of Fractions 9372/66,9768/449 is 132/29634
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 66,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,449) x common factors =1 x 1 = 1
LCM(66,449) = ( 66 × 449 ) / 1
LCM(66,449) = 29634 / 1
LCM(66,449) = 29634
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 9372/66, 9768/449?
Answer: GCF of Numerators as per given numbers 9372/66, 9768/449 is
GCF of Numerators i.e. for 9372,9768 is 132
LCM of denominators i.e. for 66,449 is 29634.
Thus, GCF of Fractions is 132/29634.Finally, GCF of Fractions for 9372/66, 9768/449 is 132/29634.