Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8060/522,4011/109
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 8060,4011
Greatest Common Factor of Numerators i.e. GCF of 8060,4011 is 1 .
LCM of Denominators means LCM of 522,109 as per the given fractions.
LCM of 522,109 is 56898 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8060,4011
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8060
List of positive integer factors of 8060 that divides 8060 without a remainder.
1,2,4,5,10,13,20,26,31,52,62,65,124,130,155,260,310,403,620,806,1612,2015,4030,8060
Factors of 4011
List of positive integer factors of 4011 that divides 4011 without a remainder.
1,3,7,21,191,573,1337,4011
Greatest Common Factor
We found the factors 8060,4011 . The biggest common factor number is the GCF number.
So the greatest common factor 8060,4011 is 1.
Lets's calculate LCM of 522,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 56898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56898
Therefore, the GCF of Fractions 8060/522,4011/109 is 1/56898
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 522,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(522,109) x common factors =1 x 1 = 1
LCM(522,109) = ( 522 × 109 ) / 1
LCM(522,109) = 56898 / 1
LCM(522,109) = 56898
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 8060/522, 4011/109?
Answer: GCF of Numerators as per given numbers 8060/522, 4011/109 is
GCF of Numerators i.e. for 8060,4011 is 1
LCM of denominators i.e. for 522,109 is 56898.
Thus, GCF of Fractions is 1/56898.Finally, GCF of Fractions for 8060/522, 4011/109 is 1/56898.