Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 574/37,606/13,404/224
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 574,606,404
Greatest Common Factor of Numerators i.e. GCF of 574,606,404 is 2 .
LCM of Denominators means LCM of 37,13,224 as per the given fractions.
LCM of 37,13,224 is 107744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 574,606,404
2 | 574, 606, 404 |
287, 303, 202 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Greatest Common Factor
We found the factors 574,606,404 . The biggest common factor number is the GCF number.
So the greatest common factor 574,606,404 is 2.
Lets's calculate LCM of 37,13,224
Given numbers has no common factors except 1. So, there LCM is their product i.e 107744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/107744
Therefore, the GCF of Fractions 574/37,606/13,404/224 is 2/107744
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 37,13,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,13,224) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,13,224) x common factors =1 x 1 = 1
LCM(37,13,224) = ( 37 × 13 × 224 ) / 1
LCM(37,13,224) = 107744 / 1
LCM(37,13,224) = 107744
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 574/37, 606/13, 404/224?
Answer: GCF of Numerators as per given numbers 574/37, 606/13, 404/224 is
GCF of Numerators i.e. for 574,606,404 is 2
LCM of denominators i.e. for 37,13,224 is 107744.
Thus, GCF of Fractions is 2/107744.Finally, GCF of Fractions for 574/37, 606/13, 404/224 is 2/107744.