Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3878/57,5210/936
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 3878,5210
Greatest Common Factor of Numerators i.e. GCF of 3878,5210 is 2 .
LCM of Denominators means LCM of 57,936 as per the given fractions.
LCM of 57,936 is 17784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3878,5210
2 | 3878, 5210 |
1939, 2605 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3878
List of positive integer factors of 3878 that divides 3878 without a remainder.
1,2,7,14,277,554,1939,3878
Factors of 5210
List of positive integer factors of 5210 that divides 5210 without a remainder.
1,2,5,10,521,1042,2605,5210
Greatest Common Factor
We found the factors 3878,5210 . The biggest common factor number is the GCF number.
So the greatest common factor 3878,5210 is 2.
Lets's calculate LCM of 57,936
3 | 57, 936 |
19, 312 |
∴ So the LCM of the given numbers is 3 x 19 x 312 = 17784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17784
Therefore, the GCF of Fractions 3878/57,5210/936 is 2/17784
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 57,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,936) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(57,936) x common factors =3 x 1 = 3
LCM(57,936) = ( 57 × 936 ) / 3
LCM(57,936) = 53352 / 3
LCM(57,936) = 17784
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 3878/57, 5210/936?
Answer: GCF of Numerators as per given numbers 3878/57, 5210/936 is
GCF of Numerators i.e. for 3878,5210 is 2
LCM of denominators i.e. for 57,936 is 17784.
Thus, GCF of Fractions is 2/17784.Finally, GCF of Fractions for 3878/57, 5210/936 is 2/17784.