GCF of 8646/486, 2079/4259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8646/486, 2079/4259 i.e 33/2069874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8646/486, 2079/4259.
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 8646/486,2079/4259?
Given fractions are 8646/486,2079/4259
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 8646/486,2079/4259, numerators are 8646,2079
Denominators are 486,4259
The GCF of 8646,2079 is 33 .
LCM of 486,4259 is 2069874.
The greatest common factor of 8646/486,2079/4259 = [GCF of 8646,2079]/[LCM of 486,4259]= 33/2069874
Therefore, the GCF of 8646/486,2079/4259 is 33/2069874.
To find the highest common factor of 8646,2079, we have to find the factors of both numbers and list the highest common factor.
The factors of 8646 are 1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646
The factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079
The HCF of 8646,2079 is 33.
Lets's calculate GCF of 8646,2079
| 3 | 8646, 2079 |
| 11 | 2882, 693 |
| 262, 63 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 8646,2079 By Matching Biggest Common Factor Method
Now, list down the factors of 8646
:1,2,3,6,11,22,33,66,131,262,393,786,1441,2882,4323,8646
Now, list down the factors of 2079
:1,3,7,9,11,21,27,33,63,77,99,189,231,297,693,2079
Greatest Common Factor
We found the factors 8646,2079 . The biggest common factor number is the GCF number.
So the greatest common factor 8646,2079 is 33.
Lets's calculate LCM of 486,4259
Given numbers has no common factors except 1. So, there LCM is their product i.e 2069874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/2069874
Therefore, the GCF of Fractions 8646/486,2079/4259 is 33/2069874
Least Common Multiple of 486,4259 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 486,4259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,4259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(486,4259) x common factors =1 x 1 = 1
LCM(486,4259) = ( 486 × 4259 ) / 1
LCM(486,4259) = 2069874 / 1
LCM(486,4259) = 2069874
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FAQs on GCF of Fractions of 8646/486, 2079/4259
1. What is the HCF of 8646,2079?
The HCF of 8646,2079 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 8646/486, 2079/4259?
Answer: GCF of Numerators as per given numbers 8646/486, 2079/4259 is
GCF of Numerators i.e. for 8646,2079 is 33
LCM of denominators i.e. for 486,4259 is 2069874.
Thus, GCF of Fractions is 33/2069874.Finally, GCF of Fractions for 8646/486, 2079/4259 is 33/2069874.