Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/25,51/62,129/472
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 18,51,129
Greatest Common Factor of Numerators i.e. GCF of 18,51,129 is 3 .
LCM of Denominators means LCM of 25,62,472 as per the given fractions.
LCM of 25,62,472 is 365800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,51,129
3 | 18, 51, 129 |
6, 17, 43 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Greatest Common Factor
We found the factors 18,51,129 . The biggest common factor number is the GCF number.
So the greatest common factor 18,51,129 is 3.
Lets's calculate LCM of 25,62,472
2 | 25, 62, 472 |
25, 31, 236 |
∴ So the LCM of the given numbers is 2 x 25 x 31 x 236 = 365800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/365800
Therefore, the GCF of Fractions 18/25,51/62,129/472 is 3/365800
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 25,62,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,62,472) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(25,62,472) x common factors =1 x 2 = 2
LCM(25,62,472) = ( 25 × 62 × 472 ) / 2
LCM(25,62,472) = 731600 / 2
LCM(25,62,472) = 365800
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 18/25, 51/62, 129/472?
Answer: GCF of Numerators as per given numbers 18/25, 51/62, 129/472 is
GCF of Numerators i.e. for 18,51,129 is 3
LCM of denominators i.e. for 25,62,472 is 365800.
Thus, GCF of Fractions is 3/365800.Finally, GCF of Fractions for 18/25, 51/62, 129/472 is 3/365800.