Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 665/89,580/83,557/987
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 665,580,557
Greatest Common Factor of Numerators i.e. GCF of 665,580,557 is 1 .
LCM of Denominators means LCM of 89,83,987 as per the given fractions.
LCM of 89,83,987 is 7290969 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 665,580,557
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Greatest Common Factor
We found the factors 665,580,557 . The biggest common factor number is the GCF number.
So the greatest common factor 665,580,557 is 1.
Lets's calculate LCM of 89,83,987
Given numbers has no common factors except 1. So, there LCM is their product i.e 7290969
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7290969
Therefore, the GCF of Fractions 665/89,580/83,557/987 is 1/7290969
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 89,83,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,83,987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,83,987) x common factors =1 x 1 = 1
LCM(89,83,987) = ( 89 × 83 × 987 ) / 1
LCM(89,83,987) = 7290969 / 1
LCM(89,83,987) = 7290969
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 665/89, 580/83, 557/987?
Answer: GCF of Numerators as per given numbers 665/89, 580/83, 557/987 is
GCF of Numerators i.e. for 665,580,557 is 1
LCM of denominators i.e. for 89,83,987 is 7290969.
Thus, GCF of Fractions is 1/7290969.Finally, GCF of Fractions for 665/89, 580/83, 557/987 is 1/7290969.