Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 985/845,819/101,409/413
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 985,819,409
Greatest Common Factor of Numerators i.e. GCF of 985,819,409 is 1 .
LCM of Denominators means LCM of 845,101,413 as per the given fractions.
LCM of 845,101,413 is 35247485 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 985,819,409
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Greatest Common Factor
We found the factors 985,819,409 . The biggest common factor number is the GCF number.
So the greatest common factor 985,819,409 is 1.
Lets's calculate LCM of 845,101,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 35247485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35247485
Therefore, the GCF of Fractions 985/845,819/101,409/413 is 1/35247485
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 845,101,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,101,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,101,413) x common factors =1 x 1 = 1
LCM(845,101,413) = ( 845 × 101 × 413 ) / 1
LCM(845,101,413) = 35247485 / 1
LCM(845,101,413) = 35247485
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 985/845, 819/101, 409/413?
Answer: GCF of Numerators as per given numbers 985/845, 819/101, 409/413 is
GCF of Numerators i.e. for 985,819,409 is 1
LCM of denominators i.e. for 845,101,413 is 35247485.
Thus, GCF of Fractions is 1/35247485.Finally, GCF of Fractions for 985/845, 819/101, 409/413 is 1/35247485.