Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 239/89,852/15,941/637
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 239,852,941
Greatest Common Factor of Numerators i.e. GCF of 239,852,941 is 1 .
LCM of Denominators means LCM of 89,15,637 as per the given fractions.
LCM of 89,15,637 is 850395 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 239,852,941
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Greatest Common Factor
We found the factors 239,852,941 . The biggest common factor number is the GCF number.
So the greatest common factor 239,852,941 is 1.
Lets's calculate LCM of 89,15,637
Given numbers has no common factors except 1. So, there LCM is their product i.e 850395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/850395
Therefore, the GCF of Fractions 239/89,852/15,941/637 is 1/850395
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 89,15,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,15,637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,15,637) x common factors =1 x 1 = 1
LCM(89,15,637) = ( 89 × 15 × 637 ) / 1
LCM(89,15,637) = 850395 / 1
LCM(89,15,637) = 850395
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 239/89, 852/15, 941/637?
Answer: GCF of Numerators as per given numbers 239/89, 852/15, 941/637 is
GCF of Numerators i.e. for 239,852,941 is 1
LCM of denominators i.e. for 89,15,637 is 850395.
Thus, GCF of Fractions is 1/850395.Finally, GCF of Fractions for 239/89, 852/15, 941/637 is 1/850395.