Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 610/363,837/230,177/795
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 610,837,177
Greatest Common Factor of Numerators i.e. GCF of 610,837,177 is 1 .
LCM of Denominators means LCM of 363,230,795 as per the given fractions.
LCM of 363,230,795 is 4424970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 610,837,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 610,837,177 . The biggest common factor number is the GCF number.
So the greatest common factor 610,837,177 is 1.
Lets's calculate LCM of 363,230,795
3 | 363, 230, 795 |
5 | 121, 230, 265 |
121, 46, 53 |
∴ So the LCM of the given numbers is 3 x 5 x 121 x 46 x 53 = 4424970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4424970
Therefore, the GCF of Fractions 610/363,837/230,177/795 is 1/4424970
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 363,230,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,230,795) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(363,230,795) x common factors =1 x 15 = 15
LCM(363,230,795) = ( 363 × 230 × 795 ) / 15
LCM(363,230,795) = 66374550 / 15
LCM(363,230,795) = 4424970
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 610/363, 837/230, 177/795?
Answer: GCF of Numerators as per given numbers 610/363, 837/230, 177/795 is
GCF of Numerators i.e. for 610,837,177 is 1
LCM of denominators i.e. for 363,230,795 is 4424970.
Thus, GCF of Fractions is 1/4424970.Finally, GCF of Fractions for 610/363, 837/230, 177/795 is 1/4424970.