Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 441/10,574/440
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 441,574
Greatest Common Factor of Numerators i.e. GCF of 441,574 is 7 .
LCM of Denominators means LCM of 10,440 as per the given fractions.
LCM of 10,440 is 440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 441,574
7 | 441, 574 |
63, 82 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 441,574 . The biggest common factor number is the GCF number.
So the greatest common factor 441,574 is 7.
Lets's calculate LCM of 10,440
2 | 10, 440 |
5 | 5, 220 |
1, 44 |
∴ So the LCM of the given numbers is 2 x 5 x 1 x 44 = 440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/440
Therefore, the GCF of Fractions 441/10,574/440 is 7/440
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 10,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,440) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(10,440) x common factors =10 x 1 = 10
LCM(10,440) = ( 10 × 440 ) / 10
LCM(10,440) = 4400 / 10
LCM(10,440) = 440
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 441/10, 574/440?
Answer: GCF of Numerators as per given numbers 441/10, 574/440 is
GCF of Numerators i.e. for 441,574 is 7
LCM of denominators i.e. for 10,440 is 440.
Thus, GCF of Fractions is 7/440.Finally, GCF of Fractions for 441/10, 574/440 is 7/440.