Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 927/601,5015/199
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 927,5015
Greatest Common Factor of Numerators i.e. GCF of 927,5015 is 1 .
LCM of Denominators means LCM of 601,199 as per the given fractions.
LCM of 601,199 is 119599 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 927,5015
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 5015
List of positive integer factors of 5015 that divides 5015 without a remainder.
1,5,17,59,85,295,1003,5015
Greatest Common Factor
We found the factors 927,5015 . The biggest common factor number is the GCF number.
So the greatest common factor 927,5015 is 1.
Lets's calculate LCM of 601,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 119599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119599
Therefore, the GCF of Fractions 927/601,5015/199 is 1/119599
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 601,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,199) x common factors =1 x 1 = 1
LCM(601,199) = ( 601 × 199 ) / 1
LCM(601,199) = 119599 / 1
LCM(601,199) = 119599
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 927/601, 5015/199?
Answer: GCF of Numerators as per given numbers 927/601, 5015/199 is
GCF of Numerators i.e. for 927,5015 is 1
LCM of denominators i.e. for 601,199 is 119599.
Thus, GCF of Fractions is 1/119599.Finally, GCF of Fractions for 927/601, 5015/199 is 1/119599.