Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 328/62,326/5882
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 328,326
Greatest Common Factor of Numerators i.e. GCF of 328,326 is 2 .
LCM of Denominators means LCM of 62,5882 as per the given fractions.
LCM of 62,5882 is 182342 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 328,326
2 | 328, 326 |
164, 163 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 328,326 . The biggest common factor number is the GCF number.
So the greatest common factor 328,326 is 2.
Lets's calculate LCM of 62,5882
2 | 62, 5882 |
31, 2941 |
∴ So the LCM of the given numbers is 2 x 31 x 2941 = 182342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/182342
Therefore, the GCF of Fractions 328/62,326/5882 is 2/182342
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 62,5882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,5882) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,5882) x common factors =2 x 1 = 2
LCM(62,5882) = ( 62 × 5882 ) / 2
LCM(62,5882) = 364684 / 2
LCM(62,5882) = 182342
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 328/62, 326/5882?
Answer: GCF of Numerators as per given numbers 328/62, 326/5882 is
GCF of Numerators i.e. for 328,326 is 2
LCM of denominators i.e. for 62,5882 is 182342.
Thus, GCF of Fractions is 2/182342.Finally, GCF of Fractions for 328/62, 326/5882 is 2/182342.