Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 736/191,5483/133
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 736,5483
Greatest Common Factor of Numerators i.e. GCF of 736,5483 is 1 .
LCM of Denominators means LCM of 191,133 as per the given fractions.
LCM of 191,133 is 25403 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 736,5483
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 5483
List of positive integer factors of 5483 that divides 5483 without a remainder.
1,5483
Greatest Common Factor
We found the factors 736,5483 . The biggest common factor number is the GCF number.
So the greatest common factor 736,5483 is 1.
Lets's calculate LCM of 191,133
Given numbers has no common factors except 1. So, there LCM is their product i.e 25403
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25403
Therefore, the GCF of Fractions 736/191,5483/133 is 1/25403
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 191,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,133) x common factors =1 x 1 = 1
LCM(191,133) = ( 191 × 133 ) / 1
LCM(191,133) = 25403 / 1
LCM(191,133) = 25403
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 736/191, 5483/133?
Answer: GCF of Numerators as per given numbers 736/191, 5483/133 is
GCF of Numerators i.e. for 736,5483 is 1
LCM of denominators i.e. for 191,133 is 25403.
Thus, GCF of Fractions is 1/25403.Finally, GCF of Fractions for 736/191, 5483/133 is 1/25403.