Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3838/708,9396/7923
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 3838,9396
Greatest Common Factor of Numerators i.e. GCF of 3838,9396 is 2 .
LCM of Denominators means LCM of 708,7923 as per the given fractions.
LCM of 708,7923 is 1869828 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3838,9396
2 | 3838, 9396 |
1919, 4698 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3838
List of positive integer factors of 3838 that divides 3838 without a remainder.
1,2,19,38,101,202,1919,3838
Factors of 9396
List of positive integer factors of 9396 that divides 9396 without a remainder.
1,2,3,4,6,9,12,18,27,29,36,54,58,81,87,108,116,162,174,261,324,348,522,783,1044,1566,2349,3132,4698,9396
Greatest Common Factor
We found the factors 3838,9396 . The biggest common factor number is the GCF number.
So the greatest common factor 3838,9396 is 2.
Lets's calculate LCM of 708,7923
3 | 708, 7923 |
236, 2641 |
∴ So the LCM of the given numbers is 3 x 236 x 2641 = 1869828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1869828
Therefore, the GCF of Fractions 3838/708,9396/7923 is 2/1869828
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 708,7923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,7923) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(708,7923) x common factors =3 x 1 = 3
LCM(708,7923) = ( 708 × 7923 ) / 3
LCM(708,7923) = 5609484 / 3
LCM(708,7923) = 1869828
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 3838/708, 9396/7923?
Answer: GCF of Numerators as per given numbers 3838/708, 9396/7923 is
GCF of Numerators i.e. for 3838,9396 is 2
LCM of denominators i.e. for 708,7923 is 1869828.
Thus, GCF of Fractions is 2/1869828.Finally, GCF of Fractions for 3838/708, 9396/7923 is 2/1869828.