Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/131,18/879,788/257
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 14,18,788
Greatest Common Factor of Numerators i.e. GCF of 14,18,788 is 2 .
LCM of Denominators means LCM of 131,879,257 as per the given fractions.
LCM of 131,879,257 is 29593293 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,18,788
2 | 14, 18, 788 |
7, 9, 394 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Greatest Common Factor
We found the factors 14,18,788 . The biggest common factor number is the GCF number.
So the greatest common factor 14,18,788 is 2.
Lets's calculate LCM of 131,879,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 29593293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29593293
Therefore, the GCF of Fractions 14/131,18/879,788/257 is 2/29593293
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 131,879,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,879,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,879,257) x common factors =1 x 1 = 1
LCM(131,879,257) = ( 131 × 879 × 257 ) / 1
LCM(131,879,257) = 29593293 / 1
LCM(131,879,257) = 29593293
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 14/131, 18/879, 788/257?
Answer: GCF of Numerators as per given numbers 14/131, 18/879, 788/257 is
GCF of Numerators i.e. for 14,18,788 is 2
LCM of denominators i.e. for 131,879,257 is 29593293.
Thus, GCF of Fractions is 2/29593293.Finally, GCF of Fractions for 14/131, 18/879, 788/257 is 2/29593293.