Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8539/238,4488/593
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 8539,4488
Greatest Common Factor of Numerators i.e. GCF of 8539,4488 is 1 .
LCM of Denominators means LCM of 238,593 as per the given fractions.
LCM of 238,593 is 141134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8539,4488
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8539
List of positive integer factors of 8539 that divides 8539 without a remainder.
1,8539
Factors of 4488
List of positive integer factors of 4488 that divides 4488 without a remainder.
1,2,3,4,6,8,11,12,17,22,24,33,34,44,51,66,68,88,102,132,136,187,204,264,374,408,561,748,1122,1496,2244,4488
Greatest Common Factor
We found the factors 8539,4488 . The biggest common factor number is the GCF number.
So the greatest common factor 8539,4488 is 1.
Lets's calculate LCM of 238,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 141134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141134
Therefore, the GCF of Fractions 8539/238,4488/593 is 1/141134
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 238,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(238,593) x common factors =1 x 1 = 1
LCM(238,593) = ( 238 × 593 ) / 1
LCM(238,593) = 141134 / 1
LCM(238,593) = 141134
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 8539/238, 4488/593?
Answer: GCF of Numerators as per given numbers 8539/238, 4488/593 is
GCF of Numerators i.e. for 8539,4488 is 1
LCM of denominators i.e. for 238,593 is 141134.
Thus, GCF of Fractions is 1/141134.Finally, GCF of Fractions for 8539/238, 4488/593 is 1/141134.