Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5535/71,9358/124
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 5535,9358
Greatest Common Factor of Numerators i.e. GCF of 5535,9358 is 1 .
LCM of Denominators means LCM of 71,124 as per the given fractions.
LCM of 71,124 is 8804 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5535,9358
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5535
List of positive integer factors of 5535 that divides 5535 without a remainder.
1,3,5,9,15,27,41,45,123,135,205,369,615,1107,1845,5535
Factors of 9358
List of positive integer factors of 9358 that divides 9358 without a remainder.
1,2,4679,9358
Greatest Common Factor
We found the factors 5535,9358 . The biggest common factor number is the GCF number.
So the greatest common factor 5535,9358 is 1.
Lets's calculate LCM of 71,124
Given numbers has no common factors except 1. So, there LCM is their product i.e 8804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8804
Therefore, the GCF of Fractions 5535/71,9358/124 is 1/8804
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 71,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,124) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,124) x common factors =1 x 1 = 1
LCM(71,124) = ( 71 × 124 ) / 1
LCM(71,124) = 8804 / 1
LCM(71,124) = 8804
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 5535/71, 9358/124?
Answer: GCF of Numerators as per given numbers 5535/71, 9358/124 is
GCF of Numerators i.e. for 5535,9358 is 1
LCM of denominators i.e. for 71,124 is 8804.
Thus, GCF of Fractions is 1/8804.Finally, GCF of Fractions for 5535/71, 9358/124 is 1/8804.