Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 298/819,8715/554
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 298,8715
Greatest Common Factor of Numerators i.e. GCF of 298,8715 is 1 .
LCM of Denominators means LCM of 819,554 as per the given fractions.
LCM of 819,554 is 453726 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 298,8715
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Factors of 8715
List of positive integer factors of 8715 that divides 8715 without a remainder.
1,3,5,7,15,21,35,83,105,249,415,581,1245,1743,2905,8715
Greatest Common Factor
We found the factors 298,8715 . The biggest common factor number is the GCF number.
So the greatest common factor 298,8715 is 1.
Lets's calculate LCM of 819,554
Given numbers has no common factors except 1. So, there LCM is their product i.e 453726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453726
Therefore, the GCF of Fractions 298/819,8715/554 is 1/453726
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 819,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,554) x common factors =1 x 1 = 1
LCM(819,554) = ( 819 × 554 ) / 1
LCM(819,554) = 453726 / 1
LCM(819,554) = 453726
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 298/819, 8715/554?
Answer: GCF of Numerators as per given numbers 298/819, 8715/554 is
GCF of Numerators i.e. for 298,8715 is 1
LCM of denominators i.e. for 819,554 is 453726.
Thus, GCF of Fractions is 1/453726.Finally, GCF of Fractions for 298/819, 8715/554 is 1/453726.