Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9576/38,2230/733
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 9576,2230
Greatest Common Factor of Numerators i.e. GCF of 9576,2230 is 2 .
LCM of Denominators means LCM of 38,733 as per the given fractions.
LCM of 38,733 is 27854 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9576,2230
2 | 9576, 2230 |
4788, 1115 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9576
List of positive integer factors of 9576 that divides 9576 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576
Factors of 2230
List of positive integer factors of 2230 that divides 2230 without a remainder.
1,2,5,10,223,446,1115,2230
Greatest Common Factor
We found the factors 9576,2230 . The biggest common factor number is the GCF number.
So the greatest common factor 9576,2230 is 2.
Lets's calculate LCM of 38,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 27854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27854
Therefore, the GCF of Fractions 9576/38,2230/733 is 2/27854
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 38,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,733) x common factors =1 x 1 = 1
LCM(38,733) = ( 38 × 733 ) / 1
LCM(38,733) = 27854 / 1
LCM(38,733) = 27854
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 9576/38, 2230/733?
Answer: GCF of Numerators as per given numbers 9576/38, 2230/733 is
GCF of Numerators i.e. for 9576,2230 is 2
LCM of denominators i.e. for 38,733 is 27854.
Thus, GCF of Fractions is 2/27854.Finally, GCF of Fractions for 9576/38, 2230/733 is 2/27854.