Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 413/220,500/797
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 413,500
Greatest Common Factor of Numerators i.e. GCF of 413,500 is 1 .
LCM of Denominators means LCM of 220,797 as per the given fractions.
LCM of 220,797 is 175340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 413,500
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 413,500 . The biggest common factor number is the GCF number.
So the greatest common factor 413,500 is 1.
Lets's calculate LCM of 220,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 175340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175340
Therefore, the GCF of Fractions 413/220,500/797 is 1/175340
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 220,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,797) x common factors =1 x 1 = 1
LCM(220,797) = ( 220 × 797 ) / 1
LCM(220,797) = 175340 / 1
LCM(220,797) = 175340
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 413/220, 500/797?
Answer: GCF of Numerators as per given numbers 413/220, 500/797 is
GCF of Numerators i.e. for 413,500 is 1
LCM of denominators i.e. for 220,797 is 175340.
Thus, GCF of Fractions is 1/175340.Finally, GCF of Fractions for 413/220, 500/797 is 1/175340.