Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/49,81/33,318/176
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 60,81,318
Greatest Common Factor of Numerators i.e. GCF of 60,81,318 is 3 .
LCM of Denominators means LCM of 49,33,176 as per the given fractions.
LCM of 49,33,176 is 25872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,81,318
3 | 60, 81, 318 |
20, 27, 106 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 60,81,318 . The biggest common factor number is the GCF number.
So the greatest common factor 60,81,318 is 3.
Lets's calculate LCM of 49,33,176
11 | 49, 33, 176 |
49, 3, 16 |
∴ So the LCM of the given numbers is 11 x 49 x 3 x 16 = 25872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25872
Therefore, the GCF of Fractions 60/49,81/33,318/176 is 3/25872
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 49,33,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,33,176) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(49,33,176) x common factors =1 x 11 = 11
LCM(49,33,176) = ( 49 × 33 × 176 ) / 11
LCM(49,33,176) = 284592 / 11
LCM(49,33,176) = 25872
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 60/49, 81/33, 318/176?
Answer: GCF of Numerators as per given numbers 60/49, 81/33, 318/176 is
GCF of Numerators i.e. for 60,81,318 is 3
LCM of denominators i.e. for 49,33,176 is 25872.
Thus, GCF of Fractions is 3/25872.Finally, GCF of Fractions for 60/49, 81/33, 318/176 is 3/25872.