Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3168/145,9570/9471
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 3168,9570
Greatest Common Factor of Numerators i.e. GCF of 3168,9570 is 66 .
LCM of Denominators means LCM of 145,9471 as per the given fractions.
LCM of 145,9471 is 1373295 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3168,9570
2 | 3168, 9570 |
3 | 1584, 4785 |
11 | 528, 1595 |
48, 145 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Factors of 3168
List of positive integer factors of 3168 that divides 3168 without a remainder.
1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,66,72,88,96,99,132,144,176,198,264,288,352,396,528,792,1056,1584,3168
Factors of 9570
List of positive integer factors of 9570 that divides 9570 without a remainder.
1,2,3,5,6,10,11,15,22,29,30,33,55,58,66,87,110,145,165,174,290,319,330,435,638,870,957,1595,1914,3190,4785,9570
Greatest Common Factor
We found the factors 3168,9570 . The biggest common factor number is the GCF number.
So the greatest common factor 3168,9570 is 66.
Lets's calculate LCM of 145,9471
Given numbers has no common factors except 1. So, there LCM is their product i.e 1373295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/1373295
Therefore, the GCF of Fractions 3168/145,9570/9471 is 66/1373295
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 145,9471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,9471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,9471) x common factors =1 x 1 = 1
LCM(145,9471) = ( 145 × 9471 ) / 1
LCM(145,9471) = 1373295 / 1
LCM(145,9471) = 1373295
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 3168/145, 9570/9471?
Answer: GCF of Numerators as per given numbers 3168/145, 9570/9471 is
GCF of Numerators i.e. for 3168,9570 is 66
LCM of denominators i.e. for 145,9471 is 1373295.
Thus, GCF of Fractions is 66/1373295.Finally, GCF of Fractions for 3168/145, 9570/9471 is 66/1373295.