Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 941/91,580/41,810/297
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 941,580,810
Greatest Common Factor of Numerators i.e. GCF of 941,580,810 is 1 .
LCM of Denominators means LCM of 91,41,297 as per the given fractions.
LCM of 91,41,297 is 1108107 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 941,580,810
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
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 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 941,580,810 . The biggest common factor number is the GCF number.
So the greatest common factor 941,580,810 is 1.
Lets's calculate LCM of 91,41,297
Given numbers has no common factors except 1. So, there LCM is their product i.e 1108107
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1108107
Therefore, the GCF of Fractions 941/91,580/41,810/297 is 1/1108107
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 91,41,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,41,297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,41,297) x common factors =1 x 1 = 1
LCM(91,41,297) = ( 91 × 41 × 297 ) / 1
LCM(91,41,297) = 1108107 / 1
LCM(91,41,297) = 1108107
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 941/91, 580/41, 810/297?
Answer: GCF of Numerators as per given numbers 941/91, 580/41, 810/297 is
GCF of Numerators i.e. for 941,580,810 is 1
LCM of denominators i.e. for 91,41,297 is 1108107.
Thus, GCF of Fractions is 1/1108107.Finally, GCF of Fractions for 941/91, 580/41, 810/297 is 1/1108107.