Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 594/41,115/59,375/740
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 594,115,375
Greatest Common Factor of Numerators i.e. GCF of 594,115,375 is 1 .
LCM of Denominators means LCM of 41,59,740 as per the given fractions.
LCM of 41,59,740 is 1790060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 594,115,375
∴ 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 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 594,115,375 . The biggest common factor number is the GCF number.
So the greatest common factor 594,115,375 is 1.
Lets's calculate LCM of 41,59,740
Given numbers has no common factors except 1. So, there LCM is their product i.e 1790060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1790060
Therefore, the GCF of Fractions 594/41,115/59,375/740 is 1/1790060
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 41,59,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,59,740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,59,740) x common factors =1 x 1 = 1
LCM(41,59,740) = ( 41 × 59 × 740 ) / 1
LCM(41,59,740) = 1790060 / 1
LCM(41,59,740) = 1790060
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 594/41, 115/59, 375/740?
Answer: GCF of Numerators as per given numbers 594/41, 115/59, 375/740 is
GCF of Numerators i.e. for 594,115,375 is 1
LCM of denominators i.e. for 41,59,740 is 1790060.
Thus, GCF of Fractions is 1/1790060.Finally, GCF of Fractions for 594/41, 115/59, 375/740 is 1/1790060.