Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 582/74,990/195
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 582,990
Greatest Common Factor of Numerators i.e. GCF of 582,990 is 6 .
LCM of Denominators means LCM of 74,195 as per the given fractions.
LCM of 74,195 is 14430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 582,990
2 | 582, 990 |
3 | 291, 495 |
97, 165 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 582,990 . The biggest common factor number is the GCF number.
So the greatest common factor 582,990 is 6.
Lets's calculate LCM of 74,195
Given numbers has no common factors except 1. So, there LCM is their product i.e 14430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/14430
Therefore, the GCF of Fractions 582/74,990/195 is 6/14430
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 74,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,195) x common factors =1 x 1 = 1
LCM(74,195) = ( 74 × 195 ) / 1
LCM(74,195) = 14430 / 1
LCM(74,195) = 14430
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 582/74, 990/195?
Answer: GCF of Numerators as per given numbers 582/74, 990/195 is
GCF of Numerators i.e. for 582,990 is 6
LCM of denominators i.e. for 74,195 is 14430.
Thus, GCF of Fractions is 6/14430.Finally, GCF of Fractions for 582/74, 990/195 is 6/14430.