Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 514/30,555/31,326/570
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 514,555,326
Greatest Common Factor of Numerators i.e. GCF of 514,555,326 is 1 .
LCM of Denominators means LCM of 30,31,570 as per the given fractions.
LCM of 30,31,570 is 17670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 514,555,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
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 514,555,326 . The biggest common factor number is the GCF number.
So the greatest common factor 514,555,326 is 1.
Lets's calculate LCM of 30,31,570
2 | 30, 31, 570 |
3 | 15, 31, 285 |
5 | 5, 31, 95 |
1, 31, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 31 x 19 = 17670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17670
Therefore, the GCF of Fractions 514/30,555/31,326/570 is 1/17670
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 30,31,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,31,570) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(30,31,570) x common factors =1 x 30 = 30
LCM(30,31,570) = ( 30 × 31 × 570 ) / 30
LCM(30,31,570) = 530100 / 30
LCM(30,31,570) = 17670
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 514/30, 555/31, 326/570?
Answer: GCF of Numerators as per given numbers 514/30, 555/31, 326/570 is
GCF of Numerators i.e. for 514,555,326 is 1
LCM of denominators i.e. for 30,31,570 is 17670.
Thus, GCF of Fractions is 1/17670.Finally, GCF of Fractions for 514/30, 555/31, 326/570 is 1/17670.