Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3327/557,8529/932
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 3327,8529
Greatest Common Factor of Numerators i.e. GCF of 3327,8529 is 3 .
LCM of Denominators means LCM of 557,932 as per the given fractions.
LCM of 557,932 is 519124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3327,8529
3 | 3327, 8529 |
1109, 2843 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3327
List of positive integer factors of 3327 that divides 3327 without a remainder.
1,3,1109,3327
Factors of 8529
List of positive integer factors of 8529 that divides 8529 without a remainder.
1,3,2843,8529
Greatest Common Factor
We found the factors 3327,8529 . The biggest common factor number is the GCF number.
So the greatest common factor 3327,8529 is 3.
Lets's calculate LCM of 557,932
Given numbers has no common factors except 1. So, there LCM is their product i.e 519124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/519124
Therefore, the GCF of Fractions 3327/557,8529/932 is 3/519124
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 557,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,932) x common factors =1 x 1 = 1
LCM(557,932) = ( 557 × 932 ) / 1
LCM(557,932) = 519124 / 1
LCM(557,932) = 519124
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 3327/557, 8529/932?
Answer: GCF of Numerators as per given numbers 3327/557, 8529/932 is
GCF of Numerators i.e. for 3327,8529 is 3
LCM of denominators i.e. for 557,932 is 519124.
Thus, GCF of Fractions is 3/519124.Finally, GCF of Fractions for 3327/557, 8529/932 is 3/519124.