Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 520/86,845/80,574/442
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 520,845,574
Greatest Common Factor of Numerators i.e. GCF of 520,845,574 is 1 .
LCM of Denominators means LCM of 86,80,442 as per the given fractions.
LCM of 86,80,442 is 760240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 520,845,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
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 520,845,574 . The biggest common factor number is the GCF number.
So the greatest common factor 520,845,574 is 1.
Lets's calculate LCM of 86,80,442
2 | 86, 80, 442 |
43, 40, 221 |
∴ So the LCM of the given numbers is 2 x 43 x 40 x 221 = 760240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/760240
Therefore, the GCF of Fractions 520/86,845/80,574/442 is 1/760240
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 86,80,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,80,442) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(86,80,442) x common factors =2 x 2 = 4
LCM(86,80,442) = ( 86 × 80 × 442 ) / 4
LCM(86,80,442) = 3040960 / 4
LCM(86,80,442) = 760240
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 520/86, 845/80, 574/442?
Answer: GCF of Numerators as per given numbers 520/86, 845/80, 574/442 is
GCF of Numerators i.e. for 520,845,574 is 1
LCM of denominators i.e. for 86,80,442 is 760240.
Thus, GCF of Fractions is 1/760240.Finally, GCF of Fractions for 520/86, 845/80, 574/442 is 1/760240.