Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 320/233,6576/497
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 320,6576
Greatest Common Factor of Numerators i.e. GCF of 320,6576 is 16 .
LCM of Denominators means LCM of 233,497 as per the given fractions.
LCM of 233,497 is 115801 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 320,6576
2 | 320, 6576 |
2 | 160, 3288 |
2 | 80, 1644 |
2 | 40, 822 |
20, 411 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 6576
List of positive integer factors of 6576 that divides 6576 without a remainder.
1,2,3,4,6,8,12,16,24,48,137,274,411,548,822,1096,1644,2192,3288,6576
Greatest Common Factor
We found the factors 320,6576 . The biggest common factor number is the GCF number.
So the greatest common factor 320,6576 is 16.
Lets's calculate LCM of 233,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 115801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/115801
Therefore, the GCF of Fractions 320/233,6576/497 is 16/115801
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 233,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,497) x common factors =1 x 1 = 1
LCM(233,497) = ( 233 × 497 ) / 1
LCM(233,497) = 115801 / 1
LCM(233,497) = 115801
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 320/233, 6576/497?
Answer: GCF of Numerators as per given numbers 320/233, 6576/497 is
GCF of Numerators i.e. for 320,6576 is 16
LCM of denominators i.e. for 233,497 is 115801.
Thus, GCF of Fractions is 16/115801.Finally, GCF of Fractions for 320/233, 6576/497 is 16/115801.