GCF of 8466/192, 8109/6359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8466/192, 8109/6359 i.e 51/1220928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8466/192, 8109/6359.
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 8466/192,8109/6359?
Given fractions are 8466/192,8109/6359
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 8466/192,8109/6359, numerators are 8466,8109
Denominators are 192,6359
The GCF of 8466,8109 is 51 .
LCM of 192,6359 is 1220928.
The greatest common factor of 8466/192,8109/6359 = [GCF of 8466,8109]/[LCM of 192,6359]= 51/1220928
Therefore, the GCF of 8466/192,8109/6359 is 51/1220928.
To find the highest common factor of 8466,8109, we have to find the factors of both numbers and list the highest common factor.
The factors of 8466 are 1, 2, 3, 6, 17, 34, 51, 83, 102, 166, 249, 498, 1411, 2822, 4233, 8466
The factors of 8109 are 1, 3, 9, 17, 51, 53, 153, 159, 477, 901, 2703, 8109
The HCF of 8466,8109 is 51.
Lets's calculate GCF of 8466,8109
| 3 | 8466, 8109 |
| 17 | 2822, 2703 |
| 166, 159 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Greatest Common Factor of 8466,8109 By Matching Biggest Common Factor Method
Now, list down the factors of 8466
:1,2,3,6,17,34,51,83,102,166,249,498,1411,2822,4233,8466
Now, list down the factors of 8109
:1,3,9,17,51,53,153,159,477,901,2703,8109
Greatest Common Factor
We found the factors 8466,8109 . The biggest common factor number is the GCF number.
So the greatest common factor 8466,8109 is 51.
Lets's calculate LCM of 192,6359
Given numbers has no common factors except 1. So, there LCM is their product i.e 1220928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/1220928
Therefore, the GCF of Fractions 8466/192,8109/6359 is 51/1220928
Least Common Multiple of 192,6359 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 192,6359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,6359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(192,6359) x common factors =1 x 1 = 1
LCM(192,6359) = ( 192 × 6359 ) / 1
LCM(192,6359) = 1220928 / 1
LCM(192,6359) = 1220928
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FAQs on GCF of Fractions of 8466/192, 8109/6359
1. What is the HCF of 8466,8109?
The HCF of 8466,8109 is 51
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 8466/192, 8109/6359?
Answer: GCF of Numerators as per given numbers 8466/192, 8109/6359 is
GCF of Numerators i.e. for 8466,8109 is 51
LCM of denominators i.e. for 192,6359 is 1220928.
Thus, GCF of Fractions is 51/1220928.Finally, GCF of Fractions for 8466/192, 8109/6359 is 51/1220928.