Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5037/20,8088/559
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 5037,8088
Greatest Common Factor of Numerators i.e. GCF of 5037,8088 is 3 .
LCM of Denominators means LCM of 20,559 as per the given fractions.
LCM of 20,559 is 11180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5037,8088
3 | 5037, 8088 |
1679, 2696 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5037
List of positive integer factors of 5037 that divides 5037 without a remainder.
1,3,23,69,73,219,1679,5037
Factors of 8088
List of positive integer factors of 8088 that divides 8088 without a remainder.
1,2,3,4,6,8,12,24,337,674,1011,1348,2022,2696,4044,8088
Greatest Common Factor
We found the factors 5037,8088 . The biggest common factor number is the GCF number.
So the greatest common factor 5037,8088 is 3.
Lets's calculate LCM of 20,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 11180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11180
Therefore, the GCF of Fractions 5037/20,8088/559 is 3/11180
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 20,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,559) x common factors =1 x 1 = 1
LCM(20,559) = ( 20 × 559 ) / 1
LCM(20,559) = 11180 / 1
LCM(20,559) = 11180
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 5037/20, 8088/559?
Answer: GCF of Numerators as per given numbers 5037/20, 8088/559 is
GCF of Numerators i.e. for 5037,8088 is 3
LCM of denominators i.e. for 20,559 is 11180.
Thus, GCF of Fractions is 3/11180.Finally, GCF of Fractions for 5037/20, 8088/559 is 3/11180.