Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/43,578/36,987/852
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 60,578,987
Greatest Common Factor of Numerators i.e. GCF of 60,578,987 is 1 .
LCM of Denominators means LCM of 43,36,852 as per the given fractions.
LCM of 43,36,852 is 109908 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,578,987
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Greatest Common Factor
We found the factors 60,578,987 . The biggest common factor number is the GCF number.
So the greatest common factor 60,578,987 is 1.
Lets's calculate LCM of 43,36,852
2 | 43, 36, 852 |
2 | 43, 18, 426 |
3 | 43, 9, 213 |
43, 3, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 3 x 71 = 109908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109908
Therefore, the GCF of Fractions 60/43,578/36,987/852 is 1/109908
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 43,36,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,36,852) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(43,36,852) x common factors =1 x 12 = 12
LCM(43,36,852) = ( 43 × 36 × 852 ) / 12
LCM(43,36,852) = 1318896 / 12
LCM(43,36,852) = 109908
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 60/43, 578/36, 987/852?
Answer: GCF of Numerators as per given numbers 60/43, 578/36, 987/852 is
GCF of Numerators i.e. for 60,578,987 is 1
LCM of denominators i.e. for 43,36,852 is 109908.
Thus, GCF of Fractions is 1/109908.Finally, GCF of Fractions for 60/43, 578/36, 987/852 is 1/109908.