Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 921/596,8286/3139
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 921,8286
Greatest Common Factor of Numerators i.e. GCF of 921,8286 is 3 .
LCM of Denominators means LCM of 596,3139 as per the given fractions.
LCM of 596,3139 is 1870844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 921,8286
3 | 921, 8286 |
307, 2762 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Factors of 8286
List of positive integer factors of 8286 that divides 8286 without a remainder.
1,2,3,6,1381,2762,4143,8286
Greatest Common Factor
We found the factors 921,8286 . The biggest common factor number is the GCF number.
So the greatest common factor 921,8286 is 3.
Lets's calculate LCM of 596,3139
Given numbers has no common factors except 1. So, there LCM is their product i.e 1870844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1870844
Therefore, the GCF of Fractions 921/596,8286/3139 is 3/1870844
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 596,3139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,3139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(596,3139) x common factors =1 x 1 = 1
LCM(596,3139) = ( 596 × 3139 ) / 1
LCM(596,3139) = 1870844 / 1
LCM(596,3139) = 1870844
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 921/596, 8286/3139?
Answer: GCF of Numerators as per given numbers 921/596, 8286/3139 is
GCF of Numerators i.e. for 921,8286 is 3
LCM of denominators i.e. for 596,3139 is 1870844.
Thus, GCF of Fractions is 3/1870844.Finally, GCF of Fractions for 921/596, 8286/3139 is 3/1870844.