Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/58,15/83,57/75,58/13
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 86,15,57,58
Greatest Common Factor of Numerators i.e. GCF of 86,15,57,58 is 1 .
LCM of Denominators means LCM of 58,83,75,13 as per the given fractions.
LCM of 58,83,75,13 is 4693650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,15,57,58
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Greatest Common Factor
We found the factors 86,15,57,58 . The biggest common factor number is the GCF number.
So the greatest common factor 86,15,57,58 is 1.
Lets's calculate LCM of 58,83,75,13
Given numbers has no common factors except 1. So, there LCM is their product i.e 4693650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4693650
Therefore, the GCF of Fractions 86/58,15/83,57/75,58/13 is 1/4693650
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 58,83,75,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,83,75,13) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,83,75,13) x common factors =1 x 1 = 1
LCM(58,83,75,13) = ( 58 × 83 × 75 × 13 ) / 1
LCM(58,83,75,13) = 4693650 / 1
LCM(58,83,75,13) = 4693650
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 86/58, 15/83, 57/75, 58/13?
Answer: GCF of Numerators as per given numbers 86/58, 15/83, 57/75, 58/13 is
GCF of Numerators i.e. for 86,15,57,58 is 1
LCM of denominators i.e. for 58,83,75,13 is 4693650.
Thus, GCF of Fractions is 1/4693650.Finally, GCF of Fractions for 86/58, 15/83, 57/75, 58/13 is 1/4693650.