Use our free GCF of Fractions Calculator tool to compute the GCF of 69/64, 164/27, 477/125 i.e 1/216000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/64, 164/27, 477/125.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/64,164/27,477/125
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 69/64,164/27,477/125, numerators are 69,164,477
Denominators are 64,27,125
The GCF of 69,164,477 is 1 .
LCM of 64,27,125 is 216000.
The greatest common factor of 69/64,164/27,477/125 = [GCF of 69,164,477]/[LCM of 64,27,125]= 1/216000
Therefore, the GCF of 69/64,164/27,477/125 is 1/216000.
To find the highest common factor of 69,164,477, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 164 are 1, 2, 4, 41, 82, 164
The factors of 477 are 1, 3, 9, 53, 159, 477
The HCF of 69,164,477 is 1.
Lets's calculate GCF of 69,164,477
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 164
:1,2,4,41,82,164
Now, list down the factors of 477
:1,3,9,53,159,477
Greatest Common Factor
We found the factors 69,164,477 . The biggest common factor number is the GCF number.
So the greatest common factor 69,164,477 is 1.
Lets's calculate LCM of 64,27,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 216000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216000
Therefore, the GCF of Fractions 69/64,164/27,477/125 is 1/216000
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 64,27,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,27,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,27,125) x common factors =1 x 1 = 1
LCM(64,27,125) = ( 64 × 27 × 125 ) / 1
LCM(64,27,125) = 216000 / 1
LCM(64,27,125) = 216000
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,164,477?
The HCF of 69,164,477 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 69/64, 164/27, 477/125?
Answer: GCF of Numerators as per given numbers 69/64, 164/27, 477/125 is
GCF of Numerators i.e. for 69,164,477 is 1
LCM of denominators i.e. for 64,27,125 is 216000.
Thus, GCF of Fractions is 1/216000.Finally, GCF of Fractions for 69/64, 164/27, 477/125 is 1/216000.