Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/984,940/401,992/230
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 82,940,992
Greatest Common Factor of Numerators i.e. GCF of 82,940,992 is 2 .
LCM of Denominators means LCM of 984,401,230 as per the given fractions.
LCM of 984,401,230 is 45377160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,940,992
2 | 82, 940, 992 |
41, 470, 496 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
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 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 82,940,992 . The biggest common factor number is the GCF number.
So the greatest common factor 82,940,992 is 2.
Lets's calculate LCM of 984,401,230
2 | 984, 401, 230 |
492, 401, 115 |
∴ So the LCM of the given numbers is 2 x 492 x 401 x 115 = 45377160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45377160
Therefore, the GCF of Fractions 82/984,940/401,992/230 is 2/45377160
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 984,401,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,401,230) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(984,401,230) x common factors =1 x 2 = 2
LCM(984,401,230) = ( 984 × 401 × 230 ) / 2
LCM(984,401,230) = 90754320 / 2
LCM(984,401,230) = 45377160
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 82/984, 940/401, 992/230?
Answer: GCF of Numerators as per given numbers 82/984, 940/401, 992/230 is
GCF of Numerators i.e. for 82,940,992 is 2
LCM of denominators i.e. for 984,401,230 is 45377160.
Thus, GCF of Fractions is 2/45377160.Finally, GCF of Fractions for 82/984, 940/401, 992/230 is 2/45377160.