Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 727/40,2517/163
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 727,2517
Greatest Common Factor of Numerators i.e. GCF of 727,2517 is 1 .
LCM of Denominators means LCM of 40,163 as per the given fractions.
LCM of 40,163 is 6520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 727,2517
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Factors of 2517
List of positive integer factors of 2517 that divides 2517 without a remainder.
1,3,839,2517
Greatest Common Factor
We found the factors 727,2517 . The biggest common factor number is the GCF number.
So the greatest common factor 727,2517 is 1.
Lets's calculate LCM of 40,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 6520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6520
Therefore, the GCF of Fractions 727/40,2517/163 is 1/6520
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 40,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,163) x common factors =1 x 1 = 1
LCM(40,163) = ( 40 × 163 ) / 1
LCM(40,163) = 6520 / 1
LCM(40,163) = 6520
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 727/40, 2517/163?
Answer: GCF of Numerators as per given numbers 727/40, 2517/163 is
GCF of Numerators i.e. for 727,2517 is 1
LCM of denominators i.e. for 40,163 is 6520.
Thus, GCF of Fractions is 1/6520.Finally, GCF of Fractions for 727/40, 2517/163 is 1/6520.