Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 587/33,361/34,668/859
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 587,361,668
Greatest Common Factor of Numerators i.e. GCF of 587,361,668 is 1 .
LCM of Denominators means LCM of 33,34,859 as per the given fractions.
LCM of 33,34,859 is 963798 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 587,361,668
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Greatest Common Factor
We found the factors 587,361,668 . The biggest common factor number is the GCF number.
So the greatest common factor 587,361,668 is 1.
Lets's calculate LCM of 33,34,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 963798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/963798
Therefore, the GCF of Fractions 587/33,361/34,668/859 is 1/963798
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 33,34,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,34,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,34,859) x common factors =1 x 1 = 1
LCM(33,34,859) = ( 33 × 34 × 859 ) / 1
LCM(33,34,859) = 963798 / 1
LCM(33,34,859) = 963798
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 587/33, 361/34, 668/859?
Answer: GCF of Numerators as per given numbers 587/33, 361/34, 668/859 is
GCF of Numerators i.e. for 587,361,668 is 1
LCM of denominators i.e. for 33,34,859 is 963798.
Thus, GCF of Fractions is 1/963798.Finally, GCF of Fractions for 587/33, 361/34, 668/859 is 1/963798.