Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1973/102,3345/4493
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 1973,3345
Greatest Common Factor of Numerators i.e. GCF of 1973,3345 is 1 .
LCM of Denominators means LCM of 102,4493 as per the given fractions.
LCM of 102,4493 is 458286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1973,3345
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1973
List of positive integer factors of 1973 that divides 1973 without a remainder.
1,1973
Factors of 3345
List of positive integer factors of 3345 that divides 3345 without a remainder.
1,3,5,15,223,669,1115,3345
Greatest Common Factor
We found the factors 1973,3345 . The biggest common factor number is the GCF number.
So the greatest common factor 1973,3345 is 1.
Lets's calculate LCM of 102,4493
Given numbers has no common factors except 1. So, there LCM is their product i.e 458286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/458286
Therefore, the GCF of Fractions 1973/102,3345/4493 is 1/458286
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 102,4493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,4493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(102,4493) x common factors =1 x 1 = 1
LCM(102,4493) = ( 102 × 4493 ) / 1
LCM(102,4493) = 458286 / 1
LCM(102,4493) = 458286
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 1973/102, 3345/4493?
Answer: GCF of Numerators as per given numbers 1973/102, 3345/4493 is
GCF of Numerators i.e. for 1973,3345 is 1
LCM of denominators i.e. for 102,4493 is 458286.
Thus, GCF of Fractions is 1/458286.Finally, GCF of Fractions for 1973/102, 3345/4493 is 1/458286.