Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 105/726,7453/589
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 105,7453
Greatest Common Factor of Numerators i.e. GCF of 105,7453 is 1 .
LCM of Denominators means LCM of 726,589 as per the given fractions.
LCM of 726,589 is 427614 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 105,7453
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Factors of 7453
List of positive integer factors of 7453 that divides 7453 without a remainder.
1,29,257,7453
Greatest Common Factor
We found the factors 105,7453 . The biggest common factor number is the GCF number.
So the greatest common factor 105,7453 is 1.
Lets's calculate LCM of 726,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 427614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/427614
Therefore, the GCF of Fractions 105/726,7453/589 is 1/427614
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 726,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(726,589) x common factors =1 x 1 = 1
LCM(726,589) = ( 726 × 589 ) / 1
LCM(726,589) = 427614 / 1
LCM(726,589) = 427614
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 105/726, 7453/589?
Answer: GCF of Numerators as per given numbers 105/726, 7453/589 is
GCF of Numerators i.e. for 105,7453 is 1
LCM of denominators i.e. for 726,589 is 427614.
Thus, GCF of Fractions is 1/427614.Finally, GCF of Fractions for 105/726, 7453/589 is 1/427614.