Use our free GCF of Fractions Calculator tool to compute the GCF of 181/229, 204/282 i.e 1/64578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 181/229, 204/282.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 181/229,204/282
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 181/229,204/282, numerators are 181,204
Denominators are 229,282
The GCF of 181,204 is 1 .
LCM of 229,282 is 64578.
The greatest common factor of 181/229,204/282 = [GCF of 181,204]/[LCM of 229,282]= 1/64578
Therefore, the GCF of 181/229,204/282 is 1/64578.
To find the highest common factor of 181,204, we have to find the factors of both numbers and list the highest common factor.
The factors of 181 are 1, 181
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The HCF of 181,204 is 1.
Lets's calculate GCF of 181,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 181
:1,181
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 181,204 . The biggest common factor number is the GCF number.
So the greatest common factor 181,204 is 1.
Lets's calculate LCM of 229,282
Given numbers has no common factors except 1. So, there LCM is their product i.e 64578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64578
Therefore, the GCF of Fractions 181/229,204/282 is 1/64578
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 229,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,282) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,282) x common factors =1 x 1 = 1
LCM(229,282) = ( 229 × 282 ) / 1
LCM(229,282) = 64578 / 1
LCM(229,282) = 64578
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 181,204?
The HCF of 181,204 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 181/229, 204/282?
Answer: GCF of Numerators as per given numbers 181/229, 204/282 is
GCF of Numerators i.e. for 181,204 is 1
LCM of denominators i.e. for 229,282 is 64578.
Thus, GCF of Fractions is 1/64578.Finally, GCF of Fractions for 181/229, 204/282 is 1/64578.