Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 593/15,290/3236
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 593,290
Greatest Common Factor of Numerators i.e. GCF of 593,290 is 1 .
LCM of Denominators means LCM of 15,3236 as per the given fractions.
LCM of 15,3236 is 48540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 593,290
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 593,290 . The biggest common factor number is the GCF number.
So the greatest common factor 593,290 is 1.
Lets's calculate LCM of 15,3236
Given numbers has no common factors except 1. So, there LCM is their product i.e 48540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48540
Therefore, the GCF of Fractions 593/15,290/3236 is 1/48540
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 15,3236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,3236) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,3236) x common factors =1 x 1 = 1
LCM(15,3236) = ( 15 × 3236 ) / 1
LCM(15,3236) = 48540 / 1
LCM(15,3236) = 48540
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 593/15, 290/3236?
Answer: GCF of Numerators as per given numbers 593/15, 290/3236 is
GCF of Numerators i.e. for 593,290 is 1
LCM of denominators i.e. for 15,3236 is 48540.
Thus, GCF of Fractions is 1/48540.Finally, GCF of Fractions for 593/15, 290/3236 is 1/48540.