Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/355,291/339,866/137
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 64,291,866
Greatest Common Factor of Numerators i.e. GCF of 64,291,866 is 1 .
LCM of Denominators means LCM of 355,339,137 as per the given fractions.
LCM of 355,339,137 is 16487265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 64,291,866
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Greatest Common Factor
We found the factors 64,291,866 . The biggest common factor number is the GCF number.
So the greatest common factor 64,291,866 is 1.
Lets's calculate LCM of 355,339,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 16487265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16487265
Therefore, the GCF of Fractions 64/355,291/339,866/137 is 1/16487265
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 355,339,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,339,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,339,137) x common factors =1 x 1 = 1
LCM(355,339,137) = ( 355 × 339 × 137 ) / 1
LCM(355,339,137) = 16487265 / 1
LCM(355,339,137) = 16487265
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 64/355, 291/339, 866/137?
Answer: GCF of Numerators as per given numbers 64/355, 291/339, 866/137 is
GCF of Numerators i.e. for 64,291,866 is 1
LCM of denominators i.e. for 355,339,137 is 16487265.
Thus, GCF of Fractions is 1/16487265.Finally, GCF of Fractions for 64/355, 291/339, 866/137 is 1/16487265.