Use our free GCF of Fractions Calculator tool to compute the GCF of 20/233, 675/477, 525/310 i.e 5/34453710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/233, 675/477, 525/310.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/233,675/477,525/310
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 20/233,675/477,525/310, numerators are 20,675,525
Denominators are 233,477,310
The GCF of 20,675,525 is 5 .
LCM of 233,477,310 is 34453710.
The greatest common factor of 20/233,675/477,525/310 = [GCF of 20,675,525]/[LCM of 233,477,310]= 5/34453710
Therefore, the GCF of 20/233,675/477,525/310 is 5/34453710.
To find the highest common factor of 20,675,525, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The HCF of 20,675,525 is 5.
Lets's calculate GCF of 20,675,525
5 | 20, 675, 525 |
4, 135, 105 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 675
:1,3,5,9,15,25,27,45,75,135,225,675
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 20,675,525 . The biggest common factor number is the GCF number.
So the greatest common factor 20,675,525 is 5.
Lets's calculate LCM of 233,477,310
Given numbers has no common factors except 1. So, there LCM is their product i.e 34453710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/34453710
Therefore, the GCF of Fractions 20/233,675/477,525/310 is 5/34453710
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 233,477,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,477,310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,477,310) x common factors =1 x 1 = 1
LCM(233,477,310) = ( 233 × 477 × 310 ) / 1
LCM(233,477,310) = 34453710 / 1
LCM(233,477,310) = 34453710
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,675,525?
The HCF of 20,675,525 is 5
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 20/233, 675/477, 525/310?
Answer: GCF of Numerators as per given numbers 20/233, 675/477, 525/310 is
GCF of Numerators i.e. for 20,675,525 is 5
LCM of denominators i.e. for 233,477,310 is 34453710.
Thus, GCF of Fractions is 5/34453710.Finally, GCF of Fractions for 20/233, 675/477, 525/310 is 5/34453710.