Use our free GCF of Fractions Calculator tool to compute the GCF of 64/521, 14/345, 475/121 i.e 1/21749145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/521, 14/345, 475/121.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/521,14/345,475/121
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 64/521,14/345,475/121, numerators are 64,14,475
Denominators are 521,345,121
The GCF of 64,14,475 is 1 .
LCM of 521,345,121 is 21749145.
The greatest common factor of 64/521,14/345,475/121 = [GCF of 64,14,475]/[LCM of 521,345,121]= 1/21749145
Therefore, the GCF of 64/521,14/345,475/121 is 1/21749145.
To find the highest common factor of 64,14,475, we have to find the factors of both numbers and list the highest common factor.
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 14 are 1, 2, 7, 14
The factors of 475 are 1, 5, 19, 25, 95, 475
The HCF of 64,14,475 is 1.
Lets's calculate GCF of 64,14,475
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 475
:1,5,19,25,95,475
Greatest Common Factor
We found the factors 64,14,475 . The biggest common factor number is the GCF number.
So the greatest common factor 64,14,475 is 1.
Lets's calculate LCM of 521,345,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 21749145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21749145
Therefore, the GCF of Fractions 64/521,14/345,475/121 is 1/21749145
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 521,345,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,345,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,345,121) x common factors =1 x 1 = 1
LCM(521,345,121) = ( 521 × 345 × 121 ) / 1
LCM(521,345,121) = 21749145 / 1
LCM(521,345,121) = 21749145
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 64,14,475?
The HCF of 64,14,475 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 64/521, 14/345, 475/121?
Answer: GCF of Numerators as per given numbers 64/521, 14/345, 475/121 is
GCF of Numerators i.e. for 64,14,475 is 1
LCM of denominators i.e. for 521,345,121 is 21749145.
Thus, GCF of Fractions is 1/21749145.Finally, GCF of Fractions for 64/521, 14/345, 475/121 is 1/21749145.