Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 53/855,375/950,539/571
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 53,375,539
Greatest Common Factor of Numerators i.e. GCF of 53,375,539 is 1 .
LCM of Denominators means LCM of 855,950,571 as per the given fractions.
LCM of 855,950,571 is 4882050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 53,375,539
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Greatest Common Factor
We found the factors 53,375,539 . The biggest common factor number is the GCF number.
So the greatest common factor 53,375,539 is 1.
Lets's calculate LCM of 855,950,571
5 | 855, 950, 571 |
19 | 171, 190, 571 |
9, 10, 571 |
∴ So the LCM of the given numbers is 5 x 19 x 9 x 10 x 571 = 4882050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4882050
Therefore, the GCF of Fractions 53/855,375/950,539/571 is 1/4882050
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 855,950,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,950,571) = 1
common factors(in case of two or more numbers have common factors) = 95
GCF(855,950,571) x common factors =1 x 95 = 95
LCM(855,950,571) = ( 855 × 950 × 571 ) / 95
LCM(855,950,571) = 463794750 / 95
LCM(855,950,571) = 4882050
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 53/855, 375/950, 539/571?
Answer: GCF of Numerators as per given numbers 53/855, 375/950, 539/571 is
GCF of Numerators i.e. for 53,375,539 is 1
LCM of denominators i.e. for 855,950,571 is 4882050.
Thus, GCF of Fractions is 1/4882050.Finally, GCF of Fractions for 53/855, 375/950, 539/571 is 1/4882050.