Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 529/72,990/2009
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 529,990
Greatest Common Factor of Numerators i.e. GCF of 529,990 is 1 .
LCM of Denominators means LCM of 72,2009 as per the given fractions.
LCM of 72,2009 is 144648 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 529,990
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 529,990 . The biggest common factor number is the GCF number.
So the greatest common factor 529,990 is 1.
Lets's calculate LCM of 72,2009
Given numbers has no common factors except 1. So, there LCM is their product i.e 144648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144648
Therefore, the GCF of Fractions 529/72,990/2009 is 1/144648
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 72,2009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,2009) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,2009) x common factors =1 x 1 = 1
LCM(72,2009) = ( 72 × 2009 ) / 1
LCM(72,2009) = 144648 / 1
LCM(72,2009) = 144648
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 529/72, 990/2009?
Answer: GCF of Numerators as per given numbers 529/72, 990/2009 is
GCF of Numerators i.e. for 529,990 is 1
LCM of denominators i.e. for 72,2009 is 144648.
Thus, GCF of Fractions is 1/144648.Finally, GCF of Fractions for 529/72, 990/2009 is 1/144648.