Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 570/50,569/6061
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 570,569
Greatest Common Factor of Numerators i.e. GCF of 570,569 is 1 .
LCM of Denominators means LCM of 50,6061 as per the given fractions.
LCM of 50,6061 is 303050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 570,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Greatest Common Factor
We found the factors 570,569 . The biggest common factor number is the GCF number.
So the greatest common factor 570,569 is 1.
Lets's calculate LCM of 50,6061
Given numbers has no common factors except 1. So, there LCM is their product i.e 303050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303050
Therefore, the GCF of Fractions 570/50,569/6061 is 1/303050
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 50,6061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,6061) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,6061) x common factors =1 x 1 = 1
LCM(50,6061) = ( 50 × 6061 ) / 1
LCM(50,6061) = 303050 / 1
LCM(50,6061) = 303050
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 570/50, 569/6061?
Answer: GCF of Numerators as per given numbers 570/50, 569/6061 is
GCF of Numerators i.e. for 570,569 is 1
LCM of denominators i.e. for 50,6061 is 303050.
Thus, GCF of Fractions is 1/303050.Finally, GCF of Fractions for 570/50, 569/6061 is 1/303050.