Use our free GCF of Fractions Calculator tool to compute the GCF of 633/685, 660/335 i.e 3/45895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 633/685, 660/335.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 633/685,660/335
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 633/685,660/335, numerators are 633,660
Denominators are 685,335
The GCF of 633,660 is 3 .
LCM of 685,335 is 45895.
The greatest common factor of 633/685,660/335 = [GCF of 633,660]/[LCM of 685,335]= 3/45895
Therefore, the GCF of 633/685,660/335 is 3/45895.
To find the highest common factor of 633,660, we have to find the factors of both numbers and list the highest common factor.
The factors of 633 are 1, 3, 211, 633
The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
The HCF of 633,660 is 3.
Lets's calculate GCF of 633,660
3 | 633, 660 |
211, 220 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 633
:1,3,211,633
Now, list down the factors of 660
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 633,660 . The biggest common factor number is the GCF number.
So the greatest common factor 633,660 is 3.
Lets's calculate LCM of 685,335
5 | 685, 335 |
137, 67 |
∴ So the LCM of the given numbers is 5 x 137 x 67 = 45895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45895
Therefore, the GCF of Fractions 633/685,660/335 is 3/45895
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 685,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,335) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(685,335) x common factors =5 x 1 = 5
LCM(685,335) = ( 685 × 335 ) / 5
LCM(685,335) = 229475 / 5
LCM(685,335) = 45895
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 633,660?
The HCF of 633,660 is 3
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 633/685, 660/335?
Answer: GCF of Numerators as per given numbers 633/685, 660/335 is
GCF of Numerators i.e. for 633,660 is 3
LCM of denominators i.e. for 685,335 is 45895.
Thus, GCF of Fractions is 3/45895.Finally, GCF of Fractions for 633/685, 660/335 is 3/45895.