Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3184/27,4474/266
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 3184,4474
Greatest Common Factor of Numerators i.e. GCF of 3184,4474 is 2 .
LCM of Denominators means LCM of 27,266 as per the given fractions.
LCM of 27,266 is 7182 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3184,4474
2 | 3184, 4474 |
1592, 2237 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3184
List of positive integer factors of 3184 that divides 3184 without a remainder.
1,2,4,8,16,199,398,796,1592,3184
Factors of 4474
List of positive integer factors of 4474 that divides 4474 without a remainder.
1,2,2237,4474
Greatest Common Factor
We found the factors 3184,4474 . The biggest common factor number is the GCF number.
So the greatest common factor 3184,4474 is 2.
Lets's calculate LCM of 27,266
Given numbers has no common factors except 1. So, there LCM is their product i.e 7182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7182
Therefore, the GCF of Fractions 3184/27,4474/266 is 2/7182
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 27,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,266) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,266) x common factors =1 x 1 = 1
LCM(27,266) = ( 27 × 266 ) / 1
LCM(27,266) = 7182 / 1
LCM(27,266) = 7182
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 3184/27, 4474/266?
Answer: GCF of Numerators as per given numbers 3184/27, 4474/266 is
GCF of Numerators i.e. for 3184,4474 is 2
LCM of denominators i.e. for 27,266 is 7182.
Thus, GCF of Fractions is 2/7182.Finally, GCF of Fractions for 3184/27, 4474/266 is 2/7182.