Use our free GCF of Fractions Calculator tool to compute the GCF of 18/20, 688/61, 273/317 i.e 1/386740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/20, 688/61, 273/317.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/20,688/61,273/317
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 18/20,688/61,273/317, numerators are 18,688,273
Denominators are 20,61,317
The GCF of 18,688,273 is 1 .
LCM of 20,61,317 is 386740.
The greatest common factor of 18/20,688/61,273/317 = [GCF of 18,688,273]/[LCM of 20,61,317]= 1/386740
Therefore, the GCF of 18/20,688/61,273/317 is 1/386740.
To find the highest common factor of 18,688,273, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273
The HCF of 18,688,273 is 1.
Lets's calculate GCF of 18,688,273
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Now, list down the factors of 273
:1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 18,688,273 . The biggest common factor number is the GCF number.
So the greatest common factor 18,688,273 is 1.
Lets's calculate LCM of 20,61,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 386740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386740
Therefore, the GCF of Fractions 18/20,688/61,273/317 is 1/386740
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 20,61,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,61,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,61,317) x common factors =1 x 1 = 1
LCM(20,61,317) = ( 20 × 61 × 317 ) / 1
LCM(20,61,317) = 386740 / 1
LCM(20,61,317) = 386740
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 18,688,273?
The HCF of 18,688,273 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 18/20, 688/61, 273/317?
Answer: GCF of Numerators as per given numbers 18/20, 688/61, 273/317 is
GCF of Numerators i.e. for 18,688,273 is 1
LCM of denominators i.e. for 20,61,317 is 386740.
Thus, GCF of Fractions is 1/386740.Finally, GCF of Fractions for 18/20, 688/61, 273/317 is 1/386740.