GCF of 990/324, 1683/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 990/324, 1683/667 i.e 99/216108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 990/324, 1683/667.
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 990/324,1683/667?
Given fractions are 990/324,1683/667
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 990/324,1683/667, numerators are 990,1683
Denominators are 324,667
The GCF of 990,1683 is 99 .
LCM of 324,667 is 216108.
The greatest common factor of 990/324,1683/667 = [GCF of 990,1683]/[LCM of 324,667]= 99/216108
Therefore, the GCF of 990/324,1683/667 is 99/216108.
To find the highest common factor of 990,1683, we have to find the factors of both numbers and list the highest common factor.
The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
The factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683
The HCF of 990,1683 is 99.
Lets's calculate GCF of 990,1683
| 3 | 990, 1683 |
| 3 | 330, 561 |
| 11 | 110, 187 |
| 10, 17 |
∴ So the GCF of the given numbers is 3 x 3 x 11 = 99
Greatest Common Factor of 990,1683 By Matching Biggest Common Factor Method
Now, list down the factors of 990
:1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Now, list down the factors of 1683
:1,3,9,11,17,33,51,99,153,187,561,1683
Greatest Common Factor
We found the factors 990,1683 . The biggest common factor number is the GCF number.
So the greatest common factor 990,1683 is 99.
Lets's calculate LCM of 324,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 216108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 99/216108
Therefore, the GCF of Fractions 990/324,1683/667 is 99/216108
Least Common Multiple of 324,667 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 324,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,667) x common factors =1 x 1 = 1
LCM(324,667) = ( 324 × 667 ) / 1
LCM(324,667) = 216108 / 1
LCM(324,667) = 216108
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FAQs on GCF of Fractions of 990/324, 1683/667
1. What is the HCF of 990,1683?
The HCF of 990,1683 is 99
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 990/324, 1683/667?
Answer: GCF of Numerators as per given numbers 990/324, 1683/667 is
GCF of Numerators i.e. for 990,1683 is 99
LCM of denominators i.e. for 324,667 is 216108.
Thus, GCF of Fractions is 99/216108.Finally, GCF of Fractions for 990/324, 1683/667 is 99/216108.