Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 104/405,912/447
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 104,912
Greatest Common Factor of Numerators i.e. GCF of 104,912 is 8 .
LCM of Denominators means LCM of 405,447 as per the given fractions.
LCM of 405,447 is 60345 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 104,912
2 | 104, 912 |
2 | 52, 456 |
2 | 26, 228 |
13, 114 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 104,912 . The biggest common factor number is the GCF number.
So the greatest common factor 104,912 is 8.
Lets's calculate LCM of 405,447
3 | 405, 447 |
135, 149 |
∴ So the LCM of the given numbers is 3 x 135 x 149 = 60345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/60345
Therefore, the GCF of Fractions 104/405,912/447 is 8/60345
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 405,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,447) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(405,447) x common factors =3 x 1 = 3
LCM(405,447) = ( 405 × 447 ) / 3
LCM(405,447) = 181035 / 3
LCM(405,447) = 60345
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 104/405, 912/447?
Answer: GCF of Numerators as per given numbers 104/405, 912/447 is
GCF of Numerators i.e. for 104,912 is 8
LCM of denominators i.e. for 405,447 is 60345.
Thus, GCF of Fractions is 8/60345.Finally, GCF of Fractions for 104/405, 912/447 is 8/60345.