Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9435/552,1593/8673
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 9435,1593
Greatest Common Factor of Numerators i.e. GCF of 9435,1593 is 3 .
LCM of Denominators means LCM of 552,8673 as per the given fractions.
LCM of 552,8673 is 1595832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9435,1593
3 | 9435, 1593 |
3145, 531 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9435
List of positive integer factors of 9435 that divides 9435 without a remainder.
1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435
Factors of 1593
List of positive integer factors of 1593 that divides 1593 without a remainder.
1,3,9,27,59,177,531,1593
Greatest Common Factor
We found the factors 9435,1593 . The biggest common factor number is the GCF number.
So the greatest common factor 9435,1593 is 3.
Lets's calculate LCM of 552,8673
3 | 552, 8673 |
184, 2891 |
∴ So the LCM of the given numbers is 3 x 184 x 2891 = 1595832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1595832
Therefore, the GCF of Fractions 9435/552,1593/8673 is 3/1595832
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 552,8673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,8673) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(552,8673) x common factors =3 x 1 = 3
LCM(552,8673) = ( 552 × 8673 ) / 3
LCM(552,8673) = 4787496 / 3
LCM(552,8673) = 1595832
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 9435/552, 1593/8673?
Answer: GCF of Numerators as per given numbers 9435/552, 1593/8673 is
GCF of Numerators i.e. for 9435,1593 is 3
LCM of denominators i.e. for 552,8673 is 1595832.
Thus, GCF of Fractions is 3/1595832.Finally, GCF of Fractions for 9435/552, 1593/8673 is 3/1595832.