Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4568/635,8757/3086
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 4568,8757
Greatest Common Factor of Numerators i.e. GCF of 4568,8757 is 1 .
LCM of Denominators means LCM of 635,3086 as per the given fractions.
LCM of 635,3086 is 1959610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4568,8757
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4568
List of positive integer factors of 4568 that divides 4568 without a remainder.
1,2,4,8,571,1142,2284,4568
Factors of 8757
List of positive integer factors of 8757 that divides 8757 without a remainder.
1,3,7,9,21,63,139,417,973,1251,2919,8757
Greatest Common Factor
We found the factors 4568,8757 . The biggest common factor number is the GCF number.
So the greatest common factor 4568,8757 is 1.
Lets's calculate LCM of 635,3086
Given numbers has no common factors except 1. So, there LCM is their product i.e 1959610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1959610
Therefore, the GCF of Fractions 4568/635,8757/3086 is 1/1959610
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 635,3086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,3086) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,3086) x common factors =1 x 1 = 1
LCM(635,3086) = ( 635 × 3086 ) / 1
LCM(635,3086) = 1959610 / 1
LCM(635,3086) = 1959610
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 4568/635, 8757/3086?
Answer: GCF of Numerators as per given numbers 4568/635, 8757/3086 is
GCF of Numerators i.e. for 4568,8757 is 1
LCM of denominators i.e. for 635,3086 is 1959610.
Thus, GCF of Fractions is 1/1959610.Finally, GCF of Fractions for 4568/635, 8757/3086 is 1/1959610.