Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 728/883,6194/289
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 728,6194
Greatest Common Factor of Numerators i.e. GCF of 728,6194 is 2 .
LCM of Denominators means LCM of 883,289 as per the given fractions.
LCM of 883,289 is 255187 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 728,6194
2 | 728, 6194 |
364, 3097 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Factors of 6194
List of positive integer factors of 6194 that divides 6194 without a remainder.
1,2,19,38,163,326,3097,6194
Greatest Common Factor
We found the factors 728,6194 . The biggest common factor number is the GCF number.
So the greatest common factor 728,6194 is 2.
Lets's calculate LCM of 883,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 255187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/255187
Therefore, the GCF of Fractions 728/883,6194/289 is 2/255187
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 883,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,289) x common factors =1 x 1 = 1
LCM(883,289) = ( 883 × 289 ) / 1
LCM(883,289) = 255187 / 1
LCM(883,289) = 255187
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 728/883, 6194/289?
Answer: GCF of Numerators as per given numbers 728/883, 6194/289 is
GCF of Numerators i.e. for 728,6194 is 2
LCM of denominators i.e. for 883,289 is 255187.
Thus, GCF of Fractions is 2/255187.Finally, GCF of Fractions for 728/883, 6194/289 is 2/255187.