GCF of 666/632, 1845/2012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 666/632, 1845/2012 i.e 9/317896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/632, 1845/2012.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 666/632,1845/2012?
Given fractions are 666/632,1845/2012
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 666/632,1845/2012, numerators are 666,1845
Denominators are 632,2012
The GCF of 666,1845 is 9 .
LCM of 632,2012 is 317896.
The greatest common factor of 666/632,1845/2012 = [GCF of 666,1845]/[LCM of 632,2012]= 9/317896
Therefore, the GCF of 666/632,1845/2012 is 9/317896.
To find the highest common factor of 666,1845, we have to find the factors of both numbers and list the highest common factor.
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845
The HCF of 666,1845 is 9.
Lets's calculate GCF of 666,1845
| 3 | 666, 1845 |
| 3 | 222, 615 |
| 74, 205 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 666,1845 By Matching Biggest Common Factor Method
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Now, list down the factors of 1845
:1,3,5,9,15,41,45,123,205,369,615,1845
Greatest Common Factor
We found the factors 666,1845 . The biggest common factor number is the GCF number.
So the greatest common factor 666,1845 is 9.
Lets's calculate LCM of 632,2012
| 2 | 632, 2012 |
| 2 | 316, 1006 |
| 158, 503 |
∴ So the LCM of the given numbers is 2 x 2 x 158 x 503 = 317896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/317896
Therefore, the GCF of Fractions 666/632,1845/2012 is 9/317896
Least Common Multiple of 632,2012 with GCF Formula
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 632,2012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,2012) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(632,2012) x common factors =4 x 1 = 4
LCM(632,2012) = ( 632 × 2012 ) / 4
LCM(632,2012) = 1271584 / 4
LCM(632,2012) = 317896
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 666/632, 1845/2012
1. What is the HCF of 666,1845?
The HCF of 666,1845 is 9
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 666/632, 1845/2012?
Answer: GCF of Numerators as per given numbers 666/632, 1845/2012 is
GCF of Numerators i.e. for 666,1845 is 9
LCM of denominators i.e. for 632,2012 is 317896.
Thus, GCF of Fractions is 9/317896.Finally, GCF of Fractions for 666/632, 1845/2012 is 9/317896.