Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5412/764,2904/6372
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 5412,2904
Greatest Common Factor of Numerators i.e. GCF of 5412,2904 is 132 .
LCM of Denominators means LCM of 764,6372 as per the given fractions.
LCM of 764,6372 is 1217052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5412,2904
2 | 5412, 2904 |
2 | 2706, 1452 |
3 | 1353, 726 |
11 | 451, 242 |
41, 22 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132
Factors of 5412
List of positive integer factors of 5412 that divides 5412 without a remainder.
1,2,3,4,6,11,12,22,33,41,44,66,82,123,132,164,246,451,492,902,1353,1804,2706,5412
Factors of 2904
List of positive integer factors of 2904 that divides 2904 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,121,132,242,264,363,484,726,968,1452,2904
Greatest Common Factor
We found the factors 5412,2904 . The biggest common factor number is the GCF number.
So the greatest common factor 5412,2904 is 132.
Lets's calculate LCM of 764,6372
2 | 764, 6372 |
2 | 382, 3186 |
191, 1593 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 1593 = 1217052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 132/1217052
Therefore, the GCF of Fractions 5412/764,2904/6372 is 132/1217052
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 764,6372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,6372) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(764,6372) x common factors =4 x 1 = 4
LCM(764,6372) = ( 764 × 6372 ) / 4
LCM(764,6372) = 4868208 / 4
LCM(764,6372) = 1217052
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 5412/764, 2904/6372?
Answer: GCF of Numerators as per given numbers 5412/764, 2904/6372 is
GCF of Numerators i.e. for 5412,2904 is 132
LCM of denominators i.e. for 764,6372 is 1217052.
Thus, GCF of Fractions is 132/1217052.Finally, GCF of Fractions for 5412/764, 2904/6372 is 132/1217052.