Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8940/782,9011/5849
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 8940,9011
Greatest Common Factor of Numerators i.e. GCF of 8940,9011 is 1 .
LCM of Denominators means LCM of 782,5849 as per the given fractions.
LCM of 782,5849 is 4573918 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8940,9011
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8940
List of positive integer factors of 8940 that divides 8940 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,149,298,447,596,745,894,1490,1788,2235,2980,4470,8940
Factors of 9011
List of positive integer factors of 9011 that divides 9011 without a remainder.
1,9011
Greatest Common Factor
We found the factors 8940,9011 . The biggest common factor number is the GCF number.
So the greatest common factor 8940,9011 is 1.
Lets's calculate LCM of 782,5849
Given numbers has no common factors except 1. So, there LCM is their product i.e 4573918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4573918
Therefore, the GCF of Fractions 8940/782,9011/5849 is 1/4573918
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 782,5849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,5849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(782,5849) x common factors =1 x 1 = 1
LCM(782,5849) = ( 782 × 5849 ) / 1
LCM(782,5849) = 4573918 / 1
LCM(782,5849) = 4573918
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 8940/782, 9011/5849?
Answer: GCF of Numerators as per given numbers 8940/782, 9011/5849 is
GCF of Numerators i.e. for 8940,9011 is 1
LCM of denominators i.e. for 782,5849 is 4573918.
Thus, GCF of Fractions is 1/4573918.Finally, GCF of Fractions for 8940/782, 9011/5849 is 1/4573918.