Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 517/20,650/4983
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 517,650
Greatest Common Factor of Numerators i.e. GCF of 517,650 is 1 .
LCM of Denominators means LCM of 20,4983 as per the given fractions.
LCM of 20,4983 is 99660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 517,650
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 517,650 . The biggest common factor number is the GCF number.
So the greatest common factor 517,650 is 1.
Lets's calculate LCM of 20,4983
Given numbers has no common factors except 1. So, there LCM is their product i.e 99660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99660
Therefore, the GCF of Fractions 517/20,650/4983 is 1/99660
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 20,4983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,4983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,4983) x common factors =1 x 1 = 1
LCM(20,4983) = ( 20 × 4983 ) / 1
LCM(20,4983) = 99660 / 1
LCM(20,4983) = 99660
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 517/20, 650/4983?
Answer: GCF of Numerators as per given numbers 517/20, 650/4983 is
GCF of Numerators i.e. for 517,650 is 1
LCM of denominators i.e. for 20,4983 is 99660.
Thus, GCF of Fractions is 1/99660.Finally, GCF of Fractions for 517/20, 650/4983 is 1/99660.