Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3526/233,8316/2548
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 3526,8316
Greatest Common Factor of Numerators i.e. GCF of 3526,8316 is 2 .
LCM of Denominators means LCM of 233,2548 as per the given fractions.
LCM of 233,2548 is 593684 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3526,8316
2 | 3526, 8316 |
1763, 4158 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3526
List of positive integer factors of 3526 that divides 3526 without a remainder.
1,2,41,43,82,86,1763,3526
Factors of 8316
List of positive integer factors of 8316 that divides 8316 without a remainder.
1,2,3,4,6,7,9,11,12,14,18,21,22,27,28,33,36,42,44,54,63,66,77,84,99,108,126,132,154,189,198,231,252,297,308,378,396,462,594,693,756,924,1188,1386,2079,2772,4158,8316
Greatest Common Factor
We found the factors 3526,8316 . The biggest common factor number is the GCF number.
So the greatest common factor 3526,8316 is 2.
Lets's calculate LCM of 233,2548
Given numbers has no common factors except 1. So, there LCM is their product i.e 593684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/593684
Therefore, the GCF of Fractions 3526/233,8316/2548 is 2/593684
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 233,2548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,2548) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,2548) x common factors =1 x 1 = 1
LCM(233,2548) = ( 233 × 2548 ) / 1
LCM(233,2548) = 593684 / 1
LCM(233,2548) = 593684
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 3526/233, 8316/2548?
Answer: GCF of Numerators as per given numbers 3526/233, 8316/2548 is
GCF of Numerators i.e. for 3526,8316 is 2
LCM of denominators i.e. for 233,2548 is 593684.
Thus, GCF of Fractions is 2/593684.Finally, GCF of Fractions for 3526/233, 8316/2548 is 2/593684.