Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9477/479,3266/713
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 9477,3266
Greatest Common Factor of Numerators i.e. GCF of 9477,3266 is 1 .
LCM of Denominators means LCM of 479,713 as per the given fractions.
LCM of 479,713 is 341527 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9477,3266
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9477
List of positive integer factors of 9477 that divides 9477 without a remainder.
1,3,9,13,27,39,81,117,243,351,729,1053,3159,9477
Factors of 3266
List of positive integer factors of 3266 that divides 3266 without a remainder.
1,2,23,46,71,142,1633,3266
Greatest Common Factor
We found the factors 9477,3266 . The biggest common factor number is the GCF number.
So the greatest common factor 9477,3266 is 1.
Lets's calculate LCM of 479,713
Given numbers has no common factors except 1. So, there LCM is their product i.e 341527
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/341527
Therefore, the GCF of Fractions 9477/479,3266/713 is 1/341527
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 479,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,713) x common factors =1 x 1 = 1
LCM(479,713) = ( 479 × 713 ) / 1
LCM(479,713) = 341527 / 1
LCM(479,713) = 341527
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 9477/479, 3266/713?
Answer: GCF of Numerators as per given numbers 9477/479, 3266/713 is
GCF of Numerators i.e. for 9477,3266 is 1
LCM of denominators i.e. for 479,713 is 341527.
Thus, GCF of Fractions is 1/341527.Finally, GCF of Fractions for 9477/479, 3266/713 is 1/341527.