Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7239/73,5330/427
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 7239,5330
Greatest Common Factor of Numerators i.e. GCF of 7239,5330 is 1 .
LCM of Denominators means LCM of 73,427 as per the given fractions.
LCM of 73,427 is 31171 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7239,5330
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7239
List of positive integer factors of 7239 that divides 7239 without a remainder.
1,3,19,57,127,381,2413,7239
Factors of 5330
List of positive integer factors of 5330 that divides 5330 without a remainder.
1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330
Greatest Common Factor
We found the factors 7239,5330 . The biggest common factor number is the GCF number.
So the greatest common factor 7239,5330 is 1.
Lets's calculate LCM of 73,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 31171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31171
Therefore, the GCF of Fractions 7239/73,5330/427 is 1/31171
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 73,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,427) x common factors =1 x 1 = 1
LCM(73,427) = ( 73 × 427 ) / 1
LCM(73,427) = 31171 / 1
LCM(73,427) = 31171
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 7239/73, 5330/427?
Answer: GCF of Numerators as per given numbers 7239/73, 5330/427 is
GCF of Numerators i.e. for 7239,5330 is 1
LCM of denominators i.e. for 73,427 is 31171.
Thus, GCF of Fractions is 1/31171.Finally, GCF of Fractions for 7239/73, 5330/427 is 1/31171.