Use our free GCF of Fractions Calculator tool to compute the GCF of 445/123, 671/117 i.e 1/4797 easily. The following is the detailed procedure to determine the greatest common factor of fractions 445/123, 671/117.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 445/123,671/117
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 445/123,671/117, numerators are 445,671
Denominators are 123,117
The GCF of 445,671 is 1 .
LCM of 123,117 is 4797.
The greatest common factor of 445/123,671/117 = [GCF of 445,671]/[LCM of 123,117]= 1/4797
Therefore, the GCF of 445/123,671/117 is 1/4797.
To find the highest common factor of 445,671, we have to find the factors of both numbers and list the highest common factor.
The factors of 445 are 1, 5, 89, 445
The factors of 671 are 1, 11, 61, 671
The HCF of 445,671 is 1.
Lets's calculate GCF of 445,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 445
:1,5,89,445
Now, list down the factors of 671
:1,11,61,671
Greatest Common Factor
We found the factors 445,671 . The biggest common factor number is the GCF number.
So the greatest common factor 445,671 is 1.
Lets's calculate LCM of 123,117
3 | 123, 117 |
41, 39 |
∴ So the LCM of the given numbers is 3 x 41 x 39 = 4797
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4797
Therefore, the GCF of Fractions 445/123,671/117 is 1/4797
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 123,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,117) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,117) x common factors =3 x 1 = 3
LCM(123,117) = ( 123 × 117 ) / 3
LCM(123,117) = 14391 / 3
LCM(123,117) = 4797
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 445,671?
The HCF of 445,671 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 445/123, 671/117?
Answer: GCF of Numerators as per given numbers 445/123, 671/117 is
GCF of Numerators i.e. for 445,671 is 1
LCM of denominators i.e. for 123,117 is 4797.
Thus, GCF of Fractions is 1/4797.Finally, GCF of Fractions for 445/123, 671/117 is 1/4797.