Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8796/38,5665/111
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 8796,5665
Greatest Common Factor of Numerators i.e. GCF of 8796,5665 is 1 .
LCM of Denominators means LCM of 38,111 as per the given fractions.
LCM of 38,111 is 4218 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8796,5665
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8796
List of positive integer factors of 8796 that divides 8796 without a remainder.
1,2,3,4,6,12,733,1466,2199,2932,4398,8796
Factors of 5665
List of positive integer factors of 5665 that divides 5665 without a remainder.
1,5,11,55,103,515,1133,5665
Greatest Common Factor
We found the factors 8796,5665 . The biggest common factor number is the GCF number.
So the greatest common factor 8796,5665 is 1.
Lets's calculate LCM of 38,111
Given numbers has no common factors except 1. So, there LCM is their product i.e 4218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4218
Therefore, the GCF of Fractions 8796/38,5665/111 is 1/4218
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 38,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,111) x common factors =1 x 1 = 1
LCM(38,111) = ( 38 × 111 ) / 1
LCM(38,111) = 4218 / 1
LCM(38,111) = 4218
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 8796/38, 5665/111?
Answer: GCF of Numerators as per given numbers 8796/38, 5665/111 is
GCF of Numerators i.e. for 8796,5665 is 1
LCM of denominators i.e. for 38,111 is 4218.
Thus, GCF of Fractions is 1/4218.Finally, GCF of Fractions for 8796/38, 5665/111 is 1/4218.