GCF of 7326/164, 9669/9822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7326/164, 9669/9822 i.e 33/805404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7326/164, 9669/9822.
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 7326/164,9669/9822?
Given fractions are 7326/164,9669/9822
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 7326/164,9669/9822, numerators are 7326,9669
Denominators are 164,9822
The GCF of 7326,9669 is 33 .
LCM of 164,9822 is 805404.
The greatest common factor of 7326/164,9669/9822 = [GCF of 7326,9669]/[LCM of 164,9822]= 33/805404
Therefore, the GCF of 7326/164,9669/9822 is 33/805404.
To find the highest common factor of 7326,9669, we have to find the factors of both numbers and list the highest common factor.
The factors of 7326 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663, 7326
The factors of 9669 are 1, 3, 11, 33, 293, 879, 3223, 9669
The HCF of 7326,9669 is 33.
Lets's calculate GCF of 7326,9669
| 3 | 7326, 9669 |
| 11 | 2442, 3223 |
| 222, 293 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 7326,9669 By Matching Biggest Common Factor Method
Now, list down the factors of 7326
:1,2,3,6,9,11,18,22,33,37,66,74,99,111,198,222,333,407,666,814,1221,2442,3663,7326
Now, list down the factors of 9669
:1,3,11,33,293,879,3223,9669
Greatest Common Factor
We found the factors 7326,9669 . The biggest common factor number is the GCF number.
So the greatest common factor 7326,9669 is 33.
Lets's calculate LCM of 164,9822
| 2 | 164, 9822 |
| 82, 4911 |
∴ So the LCM of the given numbers is 2 x 82 x 4911 = 805404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/805404
Therefore, the GCF of Fractions 7326/164,9669/9822 is 33/805404
Least Common Multiple of 164,9822 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 164,9822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,9822) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,9822) x common factors =2 x 1 = 2
LCM(164,9822) = ( 164 × 9822 ) / 2
LCM(164,9822) = 1610808 / 2
LCM(164,9822) = 805404
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FAQs on GCF of Fractions of 7326/164, 9669/9822
1. What is the HCF of 7326,9669?
The HCF of 7326,9669 is 33
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 7326/164, 9669/9822?
Answer: GCF of Numerators as per given numbers 7326/164, 9669/9822 is
GCF of Numerators i.e. for 7326,9669 is 33
LCM of denominators i.e. for 164,9822 is 805404.
Thus, GCF of Fractions is 33/805404.Finally, GCF of Fractions for 7326/164, 9669/9822 is 33/805404.