Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2390/429,3879/4084
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 2390,3879
Greatest Common Factor of Numerators i.e. GCF of 2390,3879 is 1 .
LCM of Denominators means LCM of 429,4084 as per the given fractions.
LCM of 429,4084 is 1752036 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2390,3879
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2390
List of positive integer factors of 2390 that divides 2390 without a remainder.
1,2,5,10,239,478,1195,2390
Factors of 3879
List of positive integer factors of 3879 that divides 3879 without a remainder.
1,3,9,431,1293,3879
Greatest Common Factor
We found the factors 2390,3879 . The biggest common factor number is the GCF number.
So the greatest common factor 2390,3879 is 1.
Lets's calculate LCM of 429,4084
Given numbers has no common factors except 1. So, there LCM is their product i.e 1752036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1752036
Therefore, the GCF of Fractions 2390/429,3879/4084 is 1/1752036
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 429,4084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,4084) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,4084) x common factors =1 x 1 = 1
LCM(429,4084) = ( 429 × 4084 ) / 1
LCM(429,4084) = 1752036 / 1
LCM(429,4084) = 1752036
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 2390/429, 3879/4084?
Answer: GCF of Numerators as per given numbers 2390/429, 3879/4084 is
GCF of Numerators i.e. for 2390,3879 is 1
LCM of denominators i.e. for 429,4084 is 1752036.
Thus, GCF of Fractions is 1/1752036.Finally, GCF of Fractions for 2390/429, 3879/4084 is 1/1752036.