Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2607/426,9985/493
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 2607,9985
Greatest Common Factor of Numerators i.e. GCF of 2607,9985 is 1 .
LCM of Denominators means LCM of 426,493 as per the given fractions.
LCM of 426,493 is 210018 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2607,9985
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2607
List of positive integer factors of 2607 that divides 2607 without a remainder.
1,3,11,33,79,237,869,2607
Factors of 9985
List of positive integer factors of 9985 that divides 9985 without a remainder.
1,5,1997,9985
Greatest Common Factor
We found the factors 2607,9985 . The biggest common factor number is the GCF number.
So the greatest common factor 2607,9985 is 1.
Lets's calculate LCM of 426,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 210018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210018
Therefore, the GCF of Fractions 2607/426,9985/493 is 1/210018
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 426,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(426,493) x common factors =1 x 1 = 1
LCM(426,493) = ( 426 × 493 ) / 1
LCM(426,493) = 210018 / 1
LCM(426,493) = 210018
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 2607/426, 9985/493?
Answer: GCF of Numerators as per given numbers 2607/426, 9985/493 is
GCF of Numerators i.e. for 2607,9985 is 1
LCM of denominators i.e. for 426,493 is 210018.
Thus, GCF of Fractions is 1/210018.Finally, GCF of Fractions for 2607/426, 9985/493 is 1/210018.