Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2145/313,1931/5008
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 2145,1931
Greatest Common Factor of Numerators i.e. GCF of 2145,1931 is 1 .
LCM of Denominators means LCM of 313,5008 as per the given fractions.
LCM of 313,5008 is 5008 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2145,1931
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2145
List of positive integer factors of 2145 that divides 2145 without a remainder.
1,3,5,11,13,15,33,39,55,65,143,165,195,429,715,2145
Factors of 1931
List of positive integer factors of 1931 that divides 1931 without a remainder.
1,1931
Greatest Common Factor
We found the factors 2145,1931 . The biggest common factor number is the GCF number.
So the greatest common factor 2145,1931 is 1.
Lets's calculate LCM of 313,5008
313 | 313, 5008 |
1, 16 |
∴ So the LCM of the given numbers is 313 x 1 x 16 = 5008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5008
Therefore, the GCF of Fractions 2145/313,1931/5008 is 1/5008
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 313,5008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,5008) = 313
common factors(in case of two or more numbers have common factors) = 1
GCF(313,5008) x common factors =313 x 1 = 313
LCM(313,5008) = ( 313 × 5008 ) / 313
LCM(313,5008) = 1567504 / 313
LCM(313,5008) = 5008
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 2145/313, 1931/5008?
Answer: GCF of Numerators as per given numbers 2145/313, 1931/5008 is
GCF of Numerators i.e. for 2145,1931 is 1
LCM of denominators i.e. for 313,5008 is 5008.
Thus, GCF of Fractions is 1/5008.Finally, GCF of Fractions for 2145/313, 1931/5008 is 1/5008.