Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 365/507,9715/298
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 365,9715
Greatest Common Factor of Numerators i.e. GCF of 365,9715 is 5 .
LCM of Denominators means LCM of 507,298 as per the given fractions.
LCM of 507,298 is 151086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 365,9715
5 | 365, 9715 |
73, 1943 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 9715
List of positive integer factors of 9715 that divides 9715 without a remainder.
1,5,29,67,145,335,1943,9715
Greatest Common Factor
We found the factors 365,9715 . The biggest common factor number is the GCF number.
So the greatest common factor 365,9715 is 5.
Lets's calculate LCM of 507,298
Given numbers has no common factors except 1. So, there LCM is their product i.e 151086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/151086
Therefore, the GCF of Fractions 365/507,9715/298 is 5/151086
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 507,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,298) x common factors =1 x 1 = 1
LCM(507,298) = ( 507 × 298 ) / 1
LCM(507,298) = 151086 / 1
LCM(507,298) = 151086
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 365/507, 9715/298?
Answer: GCF of Numerators as per given numbers 365/507, 9715/298 is
GCF of Numerators i.e. for 365,9715 is 5
LCM of denominators i.e. for 507,298 is 151086.
Thus, GCF of Fractions is 5/151086.Finally, GCF of Fractions for 365/507, 9715/298 is 5/151086.