Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1992/829,3798/472
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 1992,3798
Greatest Common Factor of Numerators i.e. GCF of 1992,3798 is 6 .
LCM of Denominators means LCM of 829,472 as per the given fractions.
LCM of 829,472 is 391288 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1992,3798
2 | 1992, 3798 |
3 | 996, 1899 |
332, 633 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 1992
List of positive integer factors of 1992 that divides 1992 without a remainder.
1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992
Factors of 3798
List of positive integer factors of 3798 that divides 3798 without a remainder.
1,2,3,6,9,18,211,422,633,1266,1899,3798
Greatest Common Factor
We found the factors 1992,3798 . The biggest common factor number is the GCF number.
So the greatest common factor 1992,3798 is 6.
Lets's calculate LCM of 829,472
Given numbers has no common factors except 1. So, there LCM is their product i.e 391288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/391288
Therefore, the GCF of Fractions 1992/829,3798/472 is 6/391288
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 829,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,472) x common factors =1 x 1 = 1
LCM(829,472) = ( 829 × 472 ) / 1
LCM(829,472) = 391288 / 1
LCM(829,472) = 391288
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 1992/829, 3798/472?
Answer: GCF of Numerators as per given numbers 1992/829, 3798/472 is
GCF of Numerators i.e. for 1992,3798 is 6
LCM of denominators i.e. for 829,472 is 391288.
Thus, GCF of Fractions is 6/391288.Finally, GCF of Fractions for 1992/829, 3798/472 is 6/391288.