Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6828/365,1328/2458
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 6828,1328
Greatest Common Factor of Numerators i.e. GCF of 6828,1328 is 4 .
LCM of Denominators means LCM of 365,2458 as per the given fractions.
LCM of 365,2458 is 897170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6828,1328
2 | 6828, 1328 |
2 | 3414, 664 |
1707, 332 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6828
List of positive integer factors of 6828 that divides 6828 without a remainder.
1,2,3,4,6,12,569,1138,1707,2276,3414,6828
Factors of 1328
List of positive integer factors of 1328 that divides 1328 without a remainder.
1,2,4,8,16,83,166,332,664,1328
Greatest Common Factor
We found the factors 6828,1328 . The biggest common factor number is the GCF number.
So the greatest common factor 6828,1328 is 4.
Lets's calculate LCM of 365,2458
Given numbers has no common factors except 1. So, there LCM is their product i.e 897170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/897170
Therefore, the GCF of Fractions 6828/365,1328/2458 is 4/897170
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 365,2458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,2458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,2458) x common factors =1 x 1 = 1
LCM(365,2458) = ( 365 × 2458 ) / 1
LCM(365,2458) = 897170 / 1
LCM(365,2458) = 897170
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 6828/365, 1328/2458?
Answer: GCF of Numerators as per given numbers 6828/365, 1328/2458 is
GCF of Numerators i.e. for 6828,1328 is 4
LCM of denominators i.e. for 365,2458 is 897170.
Thus, GCF of Fractions is 4/897170.Finally, GCF of Fractions for 6828/365, 1328/2458 is 4/897170.