Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2888/47,1285/515
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 2888,1285
Greatest Common Factor of Numerators i.e. GCF of 2888,1285 is 1 .
LCM of Denominators means LCM of 47,515 as per the given fractions.
LCM of 47,515 is 24205 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2888,1285
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2888
List of positive integer factors of 2888 that divides 2888 without a remainder.
1,2,4,8,19,38,76,152,361,722,1444,2888
Factors of 1285
List of positive integer factors of 1285 that divides 1285 without a remainder.
1,5,257,1285
Greatest Common Factor
We found the factors 2888,1285 . The biggest common factor number is the GCF number.
So the greatest common factor 2888,1285 is 1.
Lets's calculate LCM of 47,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 24205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24205
Therefore, the GCF of Fractions 2888/47,1285/515 is 1/24205
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 47,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,515) x common factors =1 x 1 = 1
LCM(47,515) = ( 47 × 515 ) / 1
LCM(47,515) = 24205 / 1
LCM(47,515) = 24205
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 2888/47, 1285/515?
Answer: GCF of Numerators as per given numbers 2888/47, 1285/515 is
GCF of Numerators i.e. for 2888,1285 is 1
LCM of denominators i.e. for 47,515 is 24205.
Thus, GCF of Fractions is 1/24205.Finally, GCF of Fractions for 2888/47, 1285/515 is 1/24205.