Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1581/55,8154/146
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 1581,8154
Greatest Common Factor of Numerators i.e. GCF of 1581,8154 is 3 .
LCM of Denominators means LCM of 55,146 as per the given fractions.
LCM of 55,146 is 8030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1581,8154
3 | 1581, 8154 |
527, 2718 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1581
List of positive integer factors of 1581 that divides 1581 without a remainder.
1,3,17,31,51,93,527,1581
Factors of 8154
List of positive integer factors of 8154 that divides 8154 without a remainder.
1,2,3,6,9,18,27,54,151,302,453,906,1359,2718,4077,8154
Greatest Common Factor
We found the factors 1581,8154 . The biggest common factor number is the GCF number.
So the greatest common factor 1581,8154 is 3.
Lets's calculate LCM of 55,146
Given numbers has no common factors except 1. So, there LCM is their product i.e 8030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8030
Therefore, the GCF of Fractions 1581/55,8154/146 is 3/8030
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 55,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,146) x common factors =1 x 1 = 1
LCM(55,146) = ( 55 × 146 ) / 1
LCM(55,146) = 8030 / 1
LCM(55,146) = 8030
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 1581/55, 8154/146?
Answer: GCF of Numerators as per given numbers 1581/55, 8154/146 is
GCF of Numerators i.e. for 1581,8154 is 3
LCM of denominators i.e. for 55,146 is 8030.
Thus, GCF of Fractions is 3/8030.Finally, GCF of Fractions for 1581/55, 8154/146 is 3/8030.