Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5324/202,3857/5799
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 5324,3857
Greatest Common Factor of Numerators i.e. GCF of 5324,3857 is 1 .
LCM of Denominators means LCM of 202,5799 as per the given fractions.
LCM of 202,5799 is 1171398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5324,3857
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5324
List of positive integer factors of 5324 that divides 5324 without a remainder.
1,2,4,11,22,44,121,242,484,1331,2662,5324
Factors of 3857
List of positive integer factors of 3857 that divides 3857 without a remainder.
1,7,19,29,133,203,551,3857
Greatest Common Factor
We found the factors 5324,3857 . The biggest common factor number is the GCF number.
So the greatest common factor 5324,3857 is 1.
Lets's calculate LCM of 202,5799
Given numbers has no common factors except 1. So, there LCM is their product i.e 1171398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1171398
Therefore, the GCF of Fractions 5324/202,3857/5799 is 1/1171398
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 202,5799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,5799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,5799) x common factors =1 x 1 = 1
LCM(202,5799) = ( 202 × 5799 ) / 1
LCM(202,5799) = 1171398 / 1
LCM(202,5799) = 1171398
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 5324/202, 3857/5799?
Answer: GCF of Numerators as per given numbers 5324/202, 3857/5799 is
GCF of Numerators i.e. for 5324,3857 is 1
LCM of denominators i.e. for 202,5799 is 1171398.
Thus, GCF of Fractions is 1/1171398.Finally, GCF of Fractions for 5324/202, 3857/5799 is 1/1171398.