Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4143/86,1583/345
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 4143,1583
Greatest Common Factor of Numerators i.e. GCF of 4143,1583 is 1 .
LCM of Denominators means LCM of 86,345 as per the given fractions.
LCM of 86,345 is 29670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4143,1583
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4143
List of positive integer factors of 4143 that divides 4143 without a remainder.
1,3,1381,4143
Factors of 1583
List of positive integer factors of 1583 that divides 1583 without a remainder.
1,1583
Greatest Common Factor
We found the factors 4143,1583 . The biggest common factor number is the GCF number.
So the greatest common factor 4143,1583 is 1.
Lets's calculate LCM of 86,345
Given numbers has no common factors except 1. So, there LCM is their product i.e 29670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29670
Therefore, the GCF of Fractions 4143/86,1583/345 is 1/29670
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 86,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,345) x common factors =1 x 1 = 1
LCM(86,345) = ( 86 × 345 ) / 1
LCM(86,345) = 29670 / 1
LCM(86,345) = 29670
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 4143/86, 1583/345?
Answer: GCF of Numerators as per given numbers 4143/86, 1583/345 is
GCF of Numerators i.e. for 4143,1583 is 1
LCM of denominators i.e. for 86,345 is 29670.
Thus, GCF of Fractions is 1/29670.Finally, GCF of Fractions for 4143/86, 1583/345 is 1/29670.