Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 387/259,4926/260
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 387,4926
Greatest Common Factor of Numerators i.e. GCF of 387,4926 is 3 .
LCM of Denominators means LCM of 259,260 as per the given fractions.
LCM of 259,260 is 67340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 387,4926
3 | 387, 4926 |
129, 1642 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 4926
List of positive integer factors of 4926 that divides 4926 without a remainder.
1,2,3,6,821,1642,2463,4926
Greatest Common Factor
We found the factors 387,4926 . The biggest common factor number is the GCF number.
So the greatest common factor 387,4926 is 3.
Lets's calculate LCM of 259,260
Given numbers has no common factors except 1. So, there LCM is their product i.e 67340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/67340
Therefore, the GCF of Fractions 387/259,4926/260 is 3/67340
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 259,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,260) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,260) x common factors =1 x 1 = 1
LCM(259,260) = ( 259 × 260 ) / 1
LCM(259,260) = 67340 / 1
LCM(259,260) = 67340
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 387/259, 4926/260?
Answer: GCF of Numerators as per given numbers 387/259, 4926/260 is
GCF of Numerators i.e. for 387,4926 is 3
LCM of denominators i.e. for 259,260 is 67340.
Thus, GCF of Fractions is 3/67340.Finally, GCF of Fractions for 387/259, 4926/260 is 3/67340.