Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8452/806,2534/3285
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 8452,2534
Greatest Common Factor of Numerators i.e. GCF of 8452,2534 is 2 .
LCM of Denominators means LCM of 806,3285 as per the given fractions.
LCM of 806,3285 is 2647710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8452,2534
2 | 8452, 2534 |
4226, 1267 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8452
List of positive integer factors of 8452 that divides 8452 without a remainder.
1,2,4,2113,4226,8452
Factors of 2534
List of positive integer factors of 2534 that divides 2534 without a remainder.
1,2,7,14,181,362,1267,2534
Greatest Common Factor
We found the factors 8452,2534 . The biggest common factor number is the GCF number.
So the greatest common factor 8452,2534 is 2.
Lets's calculate LCM of 806,3285
Given numbers has no common factors except 1. So, there LCM is their product i.e 2647710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2647710
Therefore, the GCF of Fractions 8452/806,2534/3285 is 2/2647710
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 806,3285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,3285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(806,3285) x common factors =1 x 1 = 1
LCM(806,3285) = ( 806 × 3285 ) / 1
LCM(806,3285) = 2647710 / 1
LCM(806,3285) = 2647710
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 8452/806, 2534/3285?
Answer: GCF of Numerators as per given numbers 8452/806, 2534/3285 is
GCF of Numerators i.e. for 8452,2534 is 2
LCM of denominators i.e. for 806,3285 is 2647710.
Thus, GCF of Fractions is 2/2647710.Finally, GCF of Fractions for 8452/806, 2534/3285 is 2/2647710.