Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 585/89,602/87,490/287
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 585,602,490
Greatest Common Factor of Numerators i.e. GCF of 585,602,490 is 1 .
LCM of Denominators means LCM of 89,87,287 as per the given fractions.
LCM of 89,87,287 is 2222241 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 585,602,490
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 585,602,490 . The biggest common factor number is the GCF number.
So the greatest common factor 585,602,490 is 1.
Lets's calculate LCM of 89,87,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 2222241
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2222241
Therefore, the GCF of Fractions 585/89,602/87,490/287 is 1/2222241
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 89,87,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,87,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,87,287) x common factors =1 x 1 = 1
LCM(89,87,287) = ( 89 × 87 × 287 ) / 1
LCM(89,87,287) = 2222241 / 1
LCM(89,87,287) = 2222241
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 585/89, 602/87, 490/287?
Answer: GCF of Numerators as per given numbers 585/89, 602/87, 490/287 is
GCF of Numerators i.e. for 585,602,490 is 1
LCM of denominators i.e. for 89,87,287 is 2222241.
Thus, GCF of Fractions is 1/2222241.Finally, GCF of Fractions for 585/89, 602/87, 490/287 is 1/2222241.