Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 682/16,2919/326
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 682,2919
Greatest Common Factor of Numerators i.e. GCF of 682,2919 is 1 .
LCM of Denominators means LCM of 16,326 as per the given fractions.
LCM of 16,326 is 2608 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 682,2919
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 2919
List of positive integer factors of 2919 that divides 2919 without a remainder.
1,3,7,21,139,417,973,2919
Greatest Common Factor
We found the factors 682,2919 . The biggest common factor number is the GCF number.
So the greatest common factor 682,2919 is 1.
Lets's calculate LCM of 16,326
2 | 16, 326 |
8, 163 |
∴ So the LCM of the given numbers is 2 x 8 x 163 = 2608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2608
Therefore, the GCF of Fractions 682/16,2919/326 is 1/2608
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 16,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(16,326) x common factors =2 x 1 = 2
LCM(16,326) = ( 16 × 326 ) / 2
LCM(16,326) = 5216 / 2
LCM(16,326) = 2608
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 682/16, 2919/326?
Answer: GCF of Numerators as per given numbers 682/16, 2919/326 is
GCF of Numerators i.e. for 682,2919 is 1
LCM of denominators i.e. for 16,326 is 2608.
Thus, GCF of Fractions is 1/2608.Finally, GCF of Fractions for 682/16, 2919/326 is 1/2608.