Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3996/359,3921/6641
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 3996,3921
Greatest Common Factor of Numerators i.e. GCF of 3996,3921 is 3 .
LCM of Denominators means LCM of 359,6641 as per the given fractions.
LCM of 359,6641 is 2384119 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3996,3921
3 | 3996, 3921 |
1332, 1307 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3996
List of positive integer factors of 3996 that divides 3996 without a remainder.
1,2,3,4,6,9,12,18,27,36,37,54,74,108,111,148,222,333,444,666,999,1332,1998,3996
Factors of 3921
List of positive integer factors of 3921 that divides 3921 without a remainder.
1,3,1307,3921
Greatest Common Factor
We found the factors 3996,3921 . The biggest common factor number is the GCF number.
So the greatest common factor 3996,3921 is 3.
Lets's calculate LCM of 359,6641
Given numbers has no common factors except 1. So, there LCM is their product i.e 2384119
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2384119
Therefore, the GCF of Fractions 3996/359,3921/6641 is 3/2384119
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 359,6641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,6641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,6641) x common factors =1 x 1 = 1
LCM(359,6641) = ( 359 × 6641 ) / 1
LCM(359,6641) = 2384119 / 1
LCM(359,6641) = 2384119
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 3996/359, 3921/6641?
Answer: GCF of Numerators as per given numbers 3996/359, 3921/6641 is
GCF of Numerators i.e. for 3996,3921 is 3
LCM of denominators i.e. for 359,6641 is 2384119.
Thus, GCF of Fractions is 3/2384119.Finally, GCF of Fractions for 3996/359, 3921/6641 is 3/2384119.