GCF of 666/19, 322/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 666/19, 322/209 i.e 2/209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/19, 322/209.
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 666/19,322/209?
Given fractions are 666/19,322/209
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 666/19,322/209, numerators are 666,322
Denominators are 19,209
The GCF of 666,322 is 2 .
LCM of 19,209 is 209.
The greatest common factor of 666/19,322/209 = [GCF of 666,322]/[LCM of 19,209]= 2/209
Therefore, the GCF of 666/19,322/209 is 2/209.
To find the highest common factor of 666,322, 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 322 are 1, 2, 7, 14, 23, 46, 161, 322
The HCF of 666,322 is 2.
Lets's calculate GCF of 666,322
| 2 | 666, 322 |
| 333, 161 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 666,322 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 322
:1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 666,322 . The biggest common factor number is the GCF number.
So the greatest common factor 666,322 is 2.
Lets's calculate LCM of 19,209
| 19 | 19, 209 |
| 1, 11 |
∴ So the LCM of the given numbers is 19 x 1 x 11 = 209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/209
Therefore, the GCF of Fractions 666/19,322/209 is 2/209
Least Common Multiple of 19,209 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 19,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,209) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(19,209) x common factors =19 x 1 = 19
LCM(19,209) = ( 19 × 209 ) / 19
LCM(19,209) = 3971 / 19
LCM(19,209) = 209
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FAQs on GCF of Fractions of 666/19, 322/209
1. What is the HCF of 666,322?
The HCF of 666,322 is 2
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 666/19, 322/209?
Answer: GCF of Numerators as per given numbers 666/19, 322/209 is
GCF of Numerators i.e. for 666,322 is 2
LCM of denominators i.e. for 19,209 is 209.
Thus, GCF of Fractions is 2/209.Finally, GCF of Fractions for 666/19, 322/209 is 2/209.