Use our free GCF of Fractions Calculator tool to compute the GCF of 73/707, 18/416, 160/581 i.e 1/24411296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/707, 18/416, 160/581.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/707,18/416,160/581
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 73/707,18/416,160/581, numerators are 73,18,160
Denominators are 707,416,581
The GCF of 73,18,160 is 1 .
LCM of 707,416,581 is 24411296.
The greatest common factor of 73/707,18/416,160/581 = [GCF of 73,18,160]/[LCM of 707,416,581]= 1/24411296
Therefore, the GCF of 73/707,18/416,160/581 is 1/24411296.
To find the highest common factor of 73,18,160, we have to find the factors of both numbers and list the highest common factor.
The factors of 73 are 1, 73
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The HCF of 73,18,160 is 1.
Lets's calculate GCF of 73,18,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 73
:1,73
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 160
:1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 73,18,160 . The biggest common factor number is the GCF number.
So the greatest common factor 73,18,160 is 1.
Lets's calculate LCM of 707,416,581
7 | 707, 416, 581 |
101, 416, 83 |
∴ So the LCM of the given numbers is 7 x 101 x 416 x 83 = 24411296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24411296
Therefore, the GCF of Fractions 73/707,18/416,160/581 is 1/24411296
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 707,416,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,416,581) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(707,416,581) x common factors =1 x 7 = 7
LCM(707,416,581) = ( 707 × 416 × 581 ) / 7
LCM(707,416,581) = 170879072 / 7
LCM(707,416,581) = 24411296
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 73,18,160?
The HCF of 73,18,160 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 73/707, 18/416, 160/581?
Answer: GCF of Numerators as per given numbers 73/707, 18/416, 160/581 is
GCF of Numerators i.e. for 73,18,160 is 1
LCM of denominators i.e. for 707,416,581 is 24411296.
Thus, GCF of Fractions is 1/24411296.Finally, GCF of Fractions for 73/707, 18/416, 160/581 is 1/24411296.