Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5006/139,5111/9012
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 5006,5111
Greatest Common Factor of Numerators i.e. GCF of 5006,5111 is 1 .
LCM of Denominators means LCM of 139,9012 as per the given fractions.
LCM of 139,9012 is 1252668 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5006,5111
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5006
List of positive integer factors of 5006 that divides 5006 without a remainder.
1,2,2503,5006
Factors of 5111
List of positive integer factors of 5111 that divides 5111 without a remainder.
1,19,269,5111
Greatest Common Factor
We found the factors 5006,5111 . The biggest common factor number is the GCF number.
So the greatest common factor 5006,5111 is 1.
Lets's calculate LCM of 139,9012
Given numbers has no common factors except 1. So, there LCM is their product i.e 1252668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1252668
Therefore, the GCF of Fractions 5006/139,5111/9012 is 1/1252668
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 139,9012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,9012) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,9012) x common factors =1 x 1 = 1
LCM(139,9012) = ( 139 × 9012 ) / 1
LCM(139,9012) = 1252668 / 1
LCM(139,9012) = 1252668
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 5006/139, 5111/9012?
Answer: GCF of Numerators as per given numbers 5006/139, 5111/9012 is
GCF of Numerators i.e. for 5006,5111 is 1
LCM of denominators i.e. for 139,9012 is 1252668.
Thus, GCF of Fractions is 1/1252668.Finally, GCF of Fractions for 5006/139, 5111/9012 is 1/1252668.