Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3194/248,1390/1803
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 3194,1390
Greatest Common Factor of Numerators i.e. GCF of 3194,1390 is 2 .
LCM of Denominators means LCM of 248,1803 as per the given fractions.
LCM of 248,1803 is 447144 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3194,1390
2 | 3194, 1390 |
1597, 695 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3194
List of positive integer factors of 3194 that divides 3194 without a remainder.
1,2,1597,3194
Factors of 1390
List of positive integer factors of 1390 that divides 1390 without a remainder.
1,2,5,10,139,278,695,1390
Greatest Common Factor
We found the factors 3194,1390 . The biggest common factor number is the GCF number.
So the greatest common factor 3194,1390 is 2.
Lets's calculate LCM of 248,1803
Given numbers has no common factors except 1. So, there LCM is their product i.e 447144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/447144
Therefore, the GCF of Fractions 3194/248,1390/1803 is 2/447144
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 248,1803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,1803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,1803) x common factors =1 x 1 = 1
LCM(248,1803) = ( 248 × 1803 ) / 1
LCM(248,1803) = 447144 / 1
LCM(248,1803) = 447144
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 3194/248, 1390/1803?
Answer: GCF of Numerators as per given numbers 3194/248, 1390/1803 is
GCF of Numerators i.e. for 3194,1390 is 2
LCM of denominators i.e. for 248,1803 is 447144.
Thus, GCF of Fractions is 2/447144.Finally, GCF of Fractions for 3194/248, 1390/1803 is 2/447144.