Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1398/322,5838/6854
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 1398,5838
Greatest Common Factor of Numerators i.e. GCF of 1398,5838 is 6 .
LCM of Denominators means LCM of 322,6854 as per the given fractions.
LCM of 322,6854 is 47978 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1398,5838
2 | 1398, 5838 |
3 | 699, 2919 |
233, 973 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 1398
List of positive integer factors of 1398 that divides 1398 without a remainder.
1,2,3,6,233,466,699,1398
Factors of 5838
List of positive integer factors of 5838 that divides 5838 without a remainder.
1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838
Greatest Common Factor
We found the factors 1398,5838 . The biggest common factor number is the GCF number.
So the greatest common factor 1398,5838 is 6.
Lets's calculate LCM of 322,6854
2 | 322, 6854 |
23 | 161, 3427 |
7, 149 |
∴ So the LCM of the given numbers is 2 x 23 x 7 x 149 = 47978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/47978
Therefore, the GCF of Fractions 1398/322,5838/6854 is 6/47978
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 322,6854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,6854) = 46
common factors(in case of two or more numbers have common factors) = 1
GCF(322,6854) x common factors =46 x 1 = 46
LCM(322,6854) = ( 322 × 6854 ) / 46
LCM(322,6854) = 2206988 / 46
LCM(322,6854) = 47978
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 1398/322, 5838/6854?
Answer: GCF of Numerators as per given numbers 1398/322, 5838/6854 is
GCF of Numerators i.e. for 1398,5838 is 6
LCM of denominators i.e. for 322,6854 is 47978.
Thus, GCF of Fractions is 6/47978.Finally, GCF of Fractions for 1398/322, 5838/6854 is 6/47978.