Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/592,22/950
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 33,22
Greatest Common Factor of Numerators i.e. GCF of 33,22 is 11 .
LCM of Denominators means LCM of 592,950 as per the given fractions.
LCM of 592,950 is 281200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 33,22
11 | 33, 22 |
3, 2 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Greatest Common Factor
We found the factors 33,22 . The biggest common factor number is the GCF number.
So the greatest common factor 33,22 is 11.
Lets's calculate LCM of 592,950
2 | 592, 950 |
296, 475 |
∴ So the LCM of the given numbers is 2 x 296 x 475 = 281200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/281200
Therefore, the GCF of Fractions 33/592,22/950 is 11/281200
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 592,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,950) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(592,950) x common factors =2 x 1 = 2
LCM(592,950) = ( 592 × 950 ) / 2
LCM(592,950) = 562400 / 2
LCM(592,950) = 281200
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 33/592, 22/950?
Answer: GCF of Numerators as per given numbers 33/592, 22/950 is
GCF of Numerators i.e. for 33,22 is 11
LCM of denominators i.e. for 592,950 is 281200.
Thus, GCF of Fractions is 11/281200.Finally, GCF of Fractions for 33/592, 22/950 is 11/281200.