Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/133,12/879,985/461
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 47,12,985
Greatest Common Factor of Numerators i.e. GCF of 47,12,985 is 1 .
LCM of Denominators means LCM of 133,879,461 as per the given fractions.
LCM of 133,879,461 is 53894127 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,12,985
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Greatest Common Factor
We found the factors 47,12,985 . The biggest common factor number is the GCF number.
So the greatest common factor 47,12,985 is 1.
Lets's calculate LCM of 133,879,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 53894127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53894127
Therefore, the GCF of Fractions 47/133,12/879,985/461 is 1/53894127
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 133,879,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,879,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,879,461) x common factors =1 x 1 = 1
LCM(133,879,461) = ( 133 × 879 × 461 ) / 1
LCM(133,879,461) = 53894127 / 1
LCM(133,879,461) = 53894127
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 47/133, 12/879, 985/461?
Answer: GCF of Numerators as per given numbers 47/133, 12/879, 985/461 is
GCF of Numerators i.e. for 47,12,985 is 1
LCM of denominators i.e. for 133,879,461 is 53894127.
Thus, GCF of Fractions is 1/53894127.Finally, GCF of Fractions for 47/133, 12/879, 985/461 is 1/53894127.