Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 564/631,9768/9075
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 564,9768
Greatest Common Factor of Numerators i.e. GCF of 564,9768 is 12 .
LCM of Denominators means LCM of 631,9075 as per the given fractions.
LCM of 631,9075 is 5726325 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 564,9768
2 | 564, 9768 |
2 | 282, 4884 |
3 | 141, 2442 |
47, 814 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
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 564,9768 . The biggest common factor number is the GCF number.
So the greatest common factor 564,9768 is 12.
Lets's calculate LCM of 631,9075
Given numbers has no common factors except 1. So, there LCM is their product i.e 5726325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/5726325
Therefore, the GCF of Fractions 564/631,9768/9075 is 12/5726325
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 631,9075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,9075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,9075) x common factors =1 x 1 = 1
LCM(631,9075) = ( 631 × 9075 ) / 1
LCM(631,9075) = 5726325 / 1
LCM(631,9075) = 5726325
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 564/631, 9768/9075?
Answer: GCF of Numerators as per given numbers 564/631, 9768/9075 is
GCF of Numerators i.e. for 564,9768 is 12
LCM of denominators i.e. for 631,9075 is 5726325.
Thus, GCF of Fractions is 12/5726325.Finally, GCF of Fractions for 564/631, 9768/9075 is 12/5726325.