Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 819/990,524/913,581/654
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 819,524,581
Greatest Common Factor of Numerators i.e. GCF of 819,524,581 is 1 .
LCM of Denominators means LCM of 990,913,654 as per the given fractions.
LCM of 990,913,654 is 8956530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 819,524,581
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Greatest Common Factor
We found the factors 819,524,581 . The biggest common factor number is the GCF number.
So the greatest common factor 819,524,581 is 1.
Lets's calculate LCM of 990,913,654
2 | 990, 913, 654 |
3 | 495, 913, 327 |
11 | 165, 913, 109 |
15, 83, 109 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 15 x 83 x 109 = 8956530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8956530
Therefore, the GCF of Fractions 819/990,524/913,581/654 is 1/8956530
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 990,913,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,913,654) = 1
common factors(in case of two or more numbers have common factors) = 66
GCF(990,913,654) x common factors =1 x 66 = 66
LCM(990,913,654) = ( 990 × 913 × 654 ) / 66
LCM(990,913,654) = 591130980 / 66
LCM(990,913,654) = 8956530
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 819/990, 524/913, 581/654?
Answer: GCF of Numerators as per given numbers 819/990, 524/913, 581/654 is
GCF of Numerators i.e. for 819,524,581 is 1
LCM of denominators i.e. for 990,913,654 is 8956530.
Thus, GCF of Fractions is 1/8956530.Finally, GCF of Fractions for 819/990, 524/913, 581/654 is 1/8956530.