Use our free GCF of Fractions Calculator tool to compute the GCF of 916/170, 905/459 i.e 1/4590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 916/170, 905/459.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 916/170,905/459
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 916/170,905/459, numerators are 916,905
Denominators are 170,459
The GCF of 916,905 is 1 .
LCM of 170,459 is 4590.
The greatest common factor of 916/170,905/459 = [GCF of 916,905]/[LCM of 170,459]= 1/4590
Therefore, the GCF of 916/170,905/459 is 1/4590.
To find the highest common factor of 916,905, we have to find the factors of both numbers and list the highest common factor.
The factors of 916 are 1, 2, 4, 229, 458, 916
The factors of 905 are 1, 5, 181, 905
The HCF of 916,905 is 1.
Lets's calculate GCF of 916,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 916
:1,2,4,229,458,916
Now, list down the factors of 905
:1,5,181,905
Greatest Common Factor
We found the factors 916,905 . The biggest common factor number is the GCF number.
So the greatest common factor 916,905 is 1.
Lets's calculate LCM of 170,459
17 | 170, 459 |
10, 27 |
∴ So the LCM of the given numbers is 17 x 10 x 27 = 4590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4590
Therefore, the GCF of Fractions 916/170,905/459 is 1/4590
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 170,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,459) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(170,459) x common factors =17 x 1 = 17
LCM(170,459) = ( 170 × 459 ) / 17
LCM(170,459) = 78030 / 17
LCM(170,459) = 4590
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 916,905?
The HCF of 916,905 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 916/170, 905/459?
Answer: GCF of Numerators as per given numbers 916/170, 905/459 is
GCF of Numerators i.e. for 916,905 is 1
LCM of denominators i.e. for 170,459 is 4590.
Thus, GCF of Fractions is 1/4590.Finally, GCF of Fractions for 916/170, 905/459 is 1/4590.