Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/234,81/463,504/290
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 30,81,504
Greatest Common Factor of Numerators i.e. GCF of 30,81,504 is 3 .
LCM of Denominators means LCM of 234,463,290 as per the given fractions.
LCM of 234,463,290 is 15709590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 30,81,504
3 | 30, 81, 504 |
10, 27, 168 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 30,81,504 . The biggest common factor number is the GCF number.
So the greatest common factor 30,81,504 is 3.
Lets's calculate LCM of 234,463,290
2 | 234, 463, 290 |
117, 463, 145 |
∴ So the LCM of the given numbers is 2 x 117 x 463 x 145 = 15709590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15709590
Therefore, the GCF of Fractions 30/234,81/463,504/290 is 3/15709590
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 234,463,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,463,290) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(234,463,290) x common factors =1 x 2 = 2
LCM(234,463,290) = ( 234 × 463 × 290 ) / 2
LCM(234,463,290) = 31419180 / 2
LCM(234,463,290) = 15709590
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 30/234, 81/463, 504/290?
Answer: GCF of Numerators as per given numbers 30/234, 81/463, 504/290 is
GCF of Numerators i.e. for 30,81,504 is 3
LCM of denominators i.e. for 234,463,290 is 15709590.
Thus, GCF of Fractions is 3/15709590.Finally, GCF of Fractions for 30/234, 81/463, 504/290 is 3/15709590.