Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8682/401,1224/525
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 8682,1224
Greatest Common Factor of Numerators i.e. GCF of 8682,1224 is 6 .
LCM of Denominators means LCM of 401,525 as per the given fractions.
LCM of 401,525 is 210525 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8682,1224
2 | 8682, 1224 |
3 | 4341, 612 |
1447, 204 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 8682
List of positive integer factors of 8682 that divides 8682 without a remainder.
1,2,3,6,1447,2894,4341,8682
Factors of 1224
List of positive integer factors of 1224 that divides 1224 without a remainder.
1,2,3,4,6,8,9,12,17,18,24,34,36,51,68,72,102,136,153,204,306,408,612,1224
Greatest Common Factor
We found the factors 8682,1224 . The biggest common factor number is the GCF number.
So the greatest common factor 8682,1224 is 6.
Lets's calculate LCM of 401,525
Given numbers has no common factors except 1. So, there LCM is their product i.e 210525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/210525
Therefore, the GCF of Fractions 8682/401,1224/525 is 6/210525
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 401,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,525) x common factors =1 x 1 = 1
LCM(401,525) = ( 401 × 525 ) / 1
LCM(401,525) = 210525 / 1
LCM(401,525) = 210525
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 8682/401, 1224/525?
Answer: GCF of Numerators as per given numbers 8682/401, 1224/525 is
GCF of Numerators i.e. for 8682,1224 is 6
LCM of denominators i.e. for 401,525 is 210525.
Thus, GCF of Fractions is 6/210525.Finally, GCF of Fractions for 8682/401, 1224/525 is 6/210525.