Use our free GCF of Fractions Calculator tool to compute the GCF of 577/166, 914/632 i.e 1/52456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 577/166, 914/632.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 577/166,914/632
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 577/166,914/632, numerators are 577,914
Denominators are 166,632
The GCF of 577,914 is 1 .
LCM of 166,632 is 52456.
The greatest common factor of 577/166,914/632 = [GCF of 577,914]/[LCM of 166,632]= 1/52456
Therefore, the GCF of 577/166,914/632 is 1/52456.
To find the highest common factor of 577,914, we have to find the factors of both numbers and list the highest common factor.
The factors of 577 are 1, 577
The factors of 914 are 1, 2, 457, 914
The HCF of 577,914 is 1.
Lets's calculate GCF of 577,914
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 577
:1,577
Now, list down the factors of 914
:1,2,457,914
Greatest Common Factor
We found the factors 577,914 . The biggest common factor number is the GCF number.
So the greatest common factor 577,914 is 1.
Lets's calculate LCM of 166,632
2 | 166, 632 |
83, 316 |
∴ So the LCM of the given numbers is 2 x 83 x 316 = 52456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52456
Therefore, the GCF of Fractions 577/166,914/632 is 1/52456
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 166,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,632) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,632) x common factors =2 x 1 = 2
LCM(166,632) = ( 166 × 632 ) / 2
LCM(166,632) = 104912 / 2
LCM(166,632) = 52456
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 577,914?
The HCF of 577,914 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 577/166, 914/632?
Answer: GCF of Numerators as per given numbers 577/166, 914/632 is
GCF of Numerators i.e. for 577,914 is 1
LCM of denominators i.e. for 166,632 is 52456.
Thus, GCF of Fractions is 1/52456.Finally, GCF of Fractions for 577/166, 914/632 is 1/52456.