Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 326/83,147/4164
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 326,147
Greatest Common Factor of Numerators i.e. GCF of 326,147 is 1 .
LCM of Denominators means LCM of 83,4164 as per the given fractions.
LCM of 83,4164 is 345612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 326,147
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 326,147 . The biggest common factor number is the GCF number.
So the greatest common factor 326,147 is 1.
Lets's calculate LCM of 83,4164
Given numbers has no common factors except 1. So, there LCM is their product i.e 345612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/345612
Therefore, the GCF of Fractions 326/83,147/4164 is 1/345612
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 83,4164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,4164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,4164) x common factors =1 x 1 = 1
LCM(83,4164) = ( 83 × 4164 ) / 1
LCM(83,4164) = 345612 / 1
LCM(83,4164) = 345612
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 326/83, 147/4164?
Answer: GCF of Numerators as per given numbers 326/83, 147/4164 is
GCF of Numerators i.e. for 326,147 is 1
LCM of denominators i.e. for 83,4164 is 345612.
Thus, GCF of Fractions is 1/345612.Finally, GCF of Fractions for 326/83, 147/4164 is 1/345612.