Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 961/241,860/343,218/442
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 961,860,218
Greatest Common Factor of Numerators i.e. GCF of 961,860,218 is 1 .
LCM of Denominators means LCM of 241,343,442 as per the given fractions.
LCM of 241,343,442 is 36537046 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 961,860,218
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 961,860,218 . The biggest common factor number is the GCF number.
So the greatest common factor 961,860,218 is 1.
Lets's calculate LCM of 241,343,442
Given numbers has no common factors except 1. So, there LCM is their product i.e 36537046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36537046
Therefore, the GCF of Fractions 961/241,860/343,218/442 is 1/36537046
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 241,343,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,343,442) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,343,442) x common factors =1 x 1 = 1
LCM(241,343,442) = ( 241 × 343 × 442 ) / 1
LCM(241,343,442) = 36537046 / 1
LCM(241,343,442) = 36537046
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 961/241, 860/343, 218/442?
Answer: GCF of Numerators as per given numbers 961/241, 860/343, 218/442 is
GCF of Numerators i.e. for 961,860,218 is 1
LCM of denominators i.e. for 241,343,442 is 36537046.
Thus, GCF of Fractions is 1/36537046.Finally, GCF of Fractions for 961/241, 860/343, 218/442 is 1/36537046.