Use our free GCF of Fractions Calculator tool to compute the GCF of 446/454, 237/184 i.e 1/41768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 446/454, 237/184.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 446/454,237/184
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 446/454,237/184, numerators are 446,237
Denominators are 454,184
The GCF of 446,237 is 1 .
LCM of 454,184 is 41768.
The greatest common factor of 446/454,237/184 = [GCF of 446,237]/[LCM of 454,184]= 1/41768
Therefore, the GCF of 446/454,237/184 is 1/41768.
To find the highest common factor of 446,237, we have to find the factors of both numbers and list the highest common factor.
The factors of 446 are 1, 2, 223, 446
The factors of 237 are 1, 3, 79, 237
The HCF of 446,237 is 1.
Lets's calculate GCF of 446,237
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 446
:1,2,223,446
Now, list down the factors of 237
:1,3,79,237
Greatest Common Factor
We found the factors 446,237 . The biggest common factor number is the GCF number.
So the greatest common factor 446,237 is 1.
Lets's calculate LCM of 454,184
2 | 454, 184 |
227, 92 |
∴ So the LCM of the given numbers is 2 x 227 x 92 = 41768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41768
Therefore, the GCF of Fractions 446/454,237/184 is 1/41768
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 454,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,184) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,184) x common factors =2 x 1 = 2
LCM(454,184) = ( 454 × 184 ) / 2
LCM(454,184) = 83536 / 2
LCM(454,184) = 41768
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 446,237?
The HCF of 446,237 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 446/454, 237/184?
Answer: GCF of Numerators as per given numbers 446/454, 237/184 is
GCF of Numerators i.e. for 446,237 is 1
LCM of denominators i.e. for 454,184 is 41768.
Thus, GCF of Fractions is 1/41768.Finally, GCF of Fractions for 446/454, 237/184 is 1/41768.