Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2458/593,2330/8880
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 2458,2330
Greatest Common Factor of Numerators i.e. GCF of 2458,2330 is 2 .
LCM of Denominators means LCM of 593,8880 as per the given fractions.
LCM of 593,8880 is 5265840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2458,2330
2 | 2458, 2330 |
1229, 1165 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2458
List of positive integer factors of 2458 that divides 2458 without a remainder.
1,2,1229,2458
Factors of 2330
List of positive integer factors of 2330 that divides 2330 without a remainder.
1,2,5,10,233,466,1165,2330
Greatest Common Factor
We found the factors 2458,2330 . The biggest common factor number is the GCF number.
So the greatest common factor 2458,2330 is 2.
Lets's calculate LCM of 593,8880
Given numbers has no common factors except 1. So, there LCM is their product i.e 5265840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5265840
Therefore, the GCF of Fractions 2458/593,2330/8880 is 2/5265840
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 593,8880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,8880) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,8880) x common factors =1 x 1 = 1
LCM(593,8880) = ( 593 × 8880 ) / 1
LCM(593,8880) = 5265840 / 1
LCM(593,8880) = 5265840
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 2458/593, 2330/8880?
Answer: GCF of Numerators as per given numbers 2458/593, 2330/8880 is
GCF of Numerators i.e. for 2458,2330 is 2
LCM of denominators i.e. for 593,8880 is 5265840.
Thus, GCF of Fractions is 2/5265840.Finally, GCF of Fractions for 2458/593, 2330/8880 is 2/5265840.