Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1329/99,1421/515
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 1329,1421
Greatest Common Factor of Numerators i.e. GCF of 1329,1421 is 1 .
LCM of Denominators means LCM of 99,515 as per the given fractions.
LCM of 99,515 is 50985 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1329,1421
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1329
List of positive integer factors of 1329 that divides 1329 without a remainder.
1,3,443,1329
Factors of 1421
List of positive integer factors of 1421 that divides 1421 without a remainder.
1,7,29,49,203,1421
Greatest Common Factor
We found the factors 1329,1421 . The biggest common factor number is the GCF number.
So the greatest common factor 1329,1421 is 1.
Lets's calculate LCM of 99,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 50985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50985
Therefore, the GCF of Fractions 1329/99,1421/515 is 1/50985
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 99,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,515) x common factors =1 x 1 = 1
LCM(99,515) = ( 99 × 515 ) / 1
LCM(99,515) = 50985 / 1
LCM(99,515) = 50985
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 1329/99, 1421/515?
Answer: GCF of Numerators as per given numbers 1329/99, 1421/515 is
GCF of Numerators i.e. for 1329,1421 is 1
LCM of denominators i.e. for 99,515 is 50985.
Thus, GCF of Fractions is 1/50985.Finally, GCF of Fractions for 1329/99, 1421/515 is 1/50985.