Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 351/502,4394/191
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 351,4394
Greatest Common Factor of Numerators i.e. GCF of 351,4394 is 13 .
LCM of Denominators means LCM of 502,191 as per the given fractions.
LCM of 502,191 is 95882 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 351,4394
13 | 351, 4394 |
27, 338 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 4394
List of positive integer factors of 4394 that divides 4394 without a remainder.
1,2,13,26,169,338,2197,4394
Greatest Common Factor
We found the factors 351,4394 . The biggest common factor number is the GCF number.
So the greatest common factor 351,4394 is 13.
Lets's calculate LCM of 502,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 95882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/95882
Therefore, the GCF of Fractions 351/502,4394/191 is 13/95882
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 502,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,191) x common factors =1 x 1 = 1
LCM(502,191) = ( 502 × 191 ) / 1
LCM(502,191) = 95882 / 1
LCM(502,191) = 95882
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 351/502, 4394/191?
Answer: GCF of Numerators as per given numbers 351/502, 4394/191 is
GCF of Numerators i.e. for 351,4394 is 13
LCM of denominators i.e. for 502,191 is 95882.
Thus, GCF of Fractions is 13/95882.Finally, GCF of Fractions for 351/502, 4394/191 is 13/95882.