Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5917/59,2763/903
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 5917,2763
Greatest Common Factor of Numerators i.e. GCF of 5917,2763 is 1 .
LCM of Denominators means LCM of 59,903 as per the given fractions.
LCM of 59,903 is 53277 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5917,2763
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5917
List of positive integer factors of 5917 that divides 5917 without a remainder.
1,61,97,5917
Factors of 2763
List of positive integer factors of 2763 that divides 2763 without a remainder.
1,3,9,307,921,2763
Greatest Common Factor
We found the factors 5917,2763 . The biggest common factor number is the GCF number.
So the greatest common factor 5917,2763 is 1.
Lets's calculate LCM of 59,903
Given numbers has no common factors except 1. So, there LCM is their product i.e 53277
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53277
Therefore, the GCF of Fractions 5917/59,2763/903 is 1/53277
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 59,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,903) x common factors =1 x 1 = 1
LCM(59,903) = ( 59 × 903 ) / 1
LCM(59,903) = 53277 / 1
LCM(59,903) = 53277
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 5917/59, 2763/903?
Answer: GCF of Numerators as per given numbers 5917/59, 2763/903 is
GCF of Numerators i.e. for 5917,2763 is 1
LCM of denominators i.e. for 59,903 is 53277.
Thus, GCF of Fractions is 1/53277.Finally, GCF of Fractions for 5917/59, 2763/903 is 1/53277.