Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 727/6265,335/9479
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 727,335
Greatest Common Factor of Numerators i.e. GCF of 727,335 is 1 .
LCM of Denominators means LCM of 6265,9479 as per the given fractions.
LCM of 6265,9479 is 59385935 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 727,335
∴ 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 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Greatest Common Factor
We found the factors 727,335 . The biggest common factor number is the GCF number.
So the greatest common factor 727,335 is 1.
Lets's calculate LCM of 6265,9479
Given numbers has no common factors except 1. So, there LCM is their product i.e 59385935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59385935
Therefore, the GCF of Fractions 727/6265,335/9479 is 1/59385935
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 6265,9479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6265,9479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6265,9479) x common factors =1 x 1 = 1
LCM(6265,9479) = ( 6265 × 9479 ) / 1
LCM(6265,9479) = 59385935 / 1
LCM(6265,9479) = 59385935
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 727/6265, 335/9479?
Answer: GCF of Numerators as per given numbers 727/6265, 335/9479 is
GCF of Numerators i.e. for 727,335 is 1
LCM of denominators i.e. for 6265,9479 is 59385935.
Thus, GCF of Fractions is 1/59385935.Finally, GCF of Fractions for 727/6265, 335/9479 is 1/59385935.