Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 857/509,180/287
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 857,180
Greatest Common Factor of Numerators i.e. GCF of 857,180 is 1 .
LCM of Denominators means LCM of 509,287 as per the given fractions.
LCM of 509,287 is 146083 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 857,180
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Greatest Common Factor
We found the factors 857,180 . The biggest common factor number is the GCF number.
So the greatest common factor 857,180 is 1.
Lets's calculate LCM of 509,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 146083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146083
Therefore, the GCF of Fractions 857/509,180/287 is 1/146083
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 509,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,287) x common factors =1 x 1 = 1
LCM(509,287) = ( 509 × 287 ) / 1
LCM(509,287) = 146083 / 1
LCM(509,287) = 146083
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 857/509, 180/287?
Answer: GCF of Numerators as per given numbers 857/509, 180/287 is
GCF of Numerators i.e. for 857,180 is 1
LCM of denominators i.e. for 509,287 is 146083.
Thus, GCF of Fractions is 1/146083.Finally, GCF of Fractions for 857/509, 180/287 is 1/146083.