Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 594/879,265/478,610/989
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 594,265,610
Greatest Common Factor of Numerators i.e. GCF of 594,265,610 is 1 .
LCM of Denominators means LCM of 879,478,989 as per the given fractions.
LCM of 879,478,989 is 415540218 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 594,265,610
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 594,265,610 . The biggest common factor number is the GCF number.
So the greatest common factor 594,265,610 is 1.
Lets's calculate LCM of 879,478,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 415540218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/415540218
Therefore, the GCF of Fractions 594/879,265/478,610/989 is 1/415540218
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 879,478,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,478,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,478,989) x common factors =1 x 1 = 1
LCM(879,478,989) = ( 879 × 478 × 989 ) / 1
LCM(879,478,989) = 415540218 / 1
LCM(879,478,989) = 415540218
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 594/879, 265/478, 610/989?
Answer: GCF of Numerators as per given numbers 594/879, 265/478, 610/989 is
GCF of Numerators i.e. for 594,265,610 is 1
LCM of denominators i.e. for 879,478,989 is 415540218.
Thus, GCF of Fractions is 1/415540218.Finally, GCF of Fractions for 594/879, 265/478, 610/989 is 1/415540218.