Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 572/313,3757/238
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 572,3757
Greatest Common Factor of Numerators i.e. GCF of 572,3757 is 13 .
LCM of Denominators means LCM of 313,238 as per the given fractions.
LCM of 313,238 is 74494 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 572,3757
13 | 572, 3757 |
44, 289 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 3757
List of positive integer factors of 3757 that divides 3757 without a remainder.
1,13,17,221,289,3757
Greatest Common Factor
We found the factors 572,3757 . The biggest common factor number is the GCF number.
So the greatest common factor 572,3757 is 13.
Lets's calculate LCM of 313,238
Given numbers has no common factors except 1. So, there LCM is their product i.e 74494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/74494
Therefore, the GCF of Fractions 572/313,3757/238 is 13/74494
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 313,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,238) x common factors =1 x 1 = 1
LCM(313,238) = ( 313 × 238 ) / 1
LCM(313,238) = 74494 / 1
LCM(313,238) = 74494
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 572/313, 3757/238?
Answer: GCF of Numerators as per given numbers 572/313, 3757/238 is
GCF of Numerators i.e. for 572,3757 is 13
LCM of denominators i.e. for 313,238 is 74494.
Thus, GCF of Fractions is 13/74494.Finally, GCF of Fractions for 572/313, 3757/238 is 13/74494.