Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 940/32,365/81,232/987
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 940,365,232
Greatest Common Factor of Numerators i.e. GCF of 940,365,232 is 1 .
LCM of Denominators means LCM of 32,81,987 as per the given fractions.
LCM of 32,81,987 is 852768 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 940,365,232
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 940,365,232 . The biggest common factor number is the GCF number.
So the greatest common factor 940,365,232 is 1.
Lets's calculate LCM of 32,81,987
3 | 32, 81, 987 |
32, 27, 329 |
∴ So the LCM of the given numbers is 3 x 32 x 27 x 329 = 852768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/852768
Therefore, the GCF of Fractions 940/32,365/81,232/987 is 1/852768
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 32,81,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,81,987) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(32,81,987) x common factors =1 x 3 = 3
LCM(32,81,987) = ( 32 × 81 × 987 ) / 3
LCM(32,81,987) = 2558304 / 3
LCM(32,81,987) = 852768
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 940/32, 365/81, 232/987?
Answer: GCF of Numerators as per given numbers 940/32, 365/81, 232/987 is
GCF of Numerators i.e. for 940,365,232 is 1
LCM of denominators i.e. for 32,81,987 is 852768.
Thus, GCF of Fractions is 1/852768.Finally, GCF of Fractions for 940/32, 365/81, 232/987 is 1/852768.