Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 872/5305,576/1459
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 872,576
Greatest Common Factor of Numerators i.e. GCF of 872,576 is 8 .
LCM of Denominators means LCM of 5305,1459 as per the given fractions.
LCM of 5305,1459 is 7739995 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 872,576
2 | 872, 576 |
2 | 436, 288 |
2 | 218, 144 |
109, 72 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Greatest Common Factor
We found the factors 872,576 . The biggest common factor number is the GCF number.
So the greatest common factor 872,576 is 8.
Lets's calculate LCM of 5305,1459
Given numbers has no common factors except 1. So, there LCM is their product i.e 7739995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/7739995
Therefore, the GCF of Fractions 872/5305,576/1459 is 8/7739995
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 5305,1459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5305,1459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5305,1459) x common factors =1 x 1 = 1
LCM(5305,1459) = ( 5305 × 1459 ) / 1
LCM(5305,1459) = 7739995 / 1
LCM(5305,1459) = 7739995
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 872/5305, 576/1459?
Answer: GCF of Numerators as per given numbers 872/5305, 576/1459 is
GCF of Numerators i.e. for 872,576 is 8
LCM of denominators i.e. for 5305,1459 is 7739995.
Thus, GCF of Fractions is 8/7739995.Finally, GCF of Fractions for 872/5305, 576/1459 is 8/7739995.