Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 568/340,921/797,326/312
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 568,921,326
Greatest Common Factor of Numerators i.e. GCF of 568,921,326 is 1 .
LCM of Denominators means LCM of 340,797,312 as per the given fractions.
LCM of 340,797,312 is 21136440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 568,921,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
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 568,921,326 . The biggest common factor number is the GCF number.
So the greatest common factor 568,921,326 is 1.
Lets's calculate LCM of 340,797,312
2 | 340, 797, 312 |
2 | 170, 797, 156 |
85, 797, 78 |
∴ So the LCM of the given numbers is 2 x 2 x 85 x 797 x 78 = 21136440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21136440
Therefore, the GCF of Fractions 568/340,921/797,326/312 is 1/21136440
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 340,797,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,797,312) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(340,797,312) x common factors =1 x 4 = 4
LCM(340,797,312) = ( 340 × 797 × 312 ) / 4
LCM(340,797,312) = 84545760 / 4
LCM(340,797,312) = 21136440
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 568/340, 921/797, 326/312?
Answer: GCF of Numerators as per given numbers 568/340, 921/797, 326/312 is
GCF of Numerators i.e. for 568,921,326 is 1
LCM of denominators i.e. for 340,797,312 is 21136440.
Thus, GCF of Fractions is 1/21136440.Finally, GCF of Fractions for 568/340, 921/797, 326/312 is 1/21136440.