Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 193/5749,250/2758
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 193,250
Greatest Common Factor of Numerators i.e. GCF of 193,250 is 1 .
LCM of Denominators means LCM of 5749,2758 as per the given fractions.
LCM of 5749,2758 is 15855742 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 193,250
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 193,250 . The biggest common factor number is the GCF number.
So the greatest common factor 193,250 is 1.
Lets's calculate LCM of 5749,2758
Given numbers has no common factors except 1. So, there LCM is their product i.e 15855742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15855742
Therefore, the GCF of Fractions 193/5749,250/2758 is 1/15855742
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 5749,2758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5749,2758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5749,2758) x common factors =1 x 1 = 1
LCM(5749,2758) = ( 5749 × 2758 ) / 1
LCM(5749,2758) = 15855742 / 1
LCM(5749,2758) = 15855742
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 193/5749, 250/2758?
Answer: GCF of Numerators as per given numbers 193/5749, 250/2758 is
GCF of Numerators i.e. for 193,250 is 1
LCM of denominators i.e. for 5749,2758 is 15855742.
Thus, GCF of Fractions is 1/15855742.Finally, GCF of Fractions for 193/5749, 250/2758 is 1/15855742.