GCF of 5304/849, 8066/5766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5304/849, 8066/5766 i.e 2/1631778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5304/849, 8066/5766.
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 5304/849,8066/5766?
Given fractions are 5304/849,8066/5766
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 5304/849,8066/5766, numerators are 5304,8066
Denominators are 849,5766
The GCF of 5304,8066 is 2 .
LCM of 849,5766 is 1631778.
The greatest common factor of 5304/849,8066/5766 = [GCF of 5304,8066]/[LCM of 849,5766]= 2/1631778
Therefore, the GCF of 5304/849,8066/5766 is 2/1631778.
To find the highest common factor of 5304,8066, we have to find the factors of both numbers and list the highest common factor.
The factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304
The factors of 8066 are 1, 2, 37, 74, 109, 218, 4033, 8066
The HCF of 5304,8066 is 2.
Lets's calculate GCF of 5304,8066
| 2 | 5304, 8066 |
| 2652, 4033 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5304,8066 By Matching Biggest Common Factor Method
Now, list down the factors of 5304
:1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304
Now, list down the factors of 8066
:1,2,37,74,109,218,4033,8066
Greatest Common Factor
We found the factors 5304,8066 . The biggest common factor number is the GCF number.
So the greatest common factor 5304,8066 is 2.
Lets's calculate LCM of 849,5766
| 3 | 849, 5766 |
| 283, 1922 |
∴ So the LCM of the given numbers is 3 x 283 x 1922 = 1631778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1631778
Therefore, the GCF of Fractions 5304/849,8066/5766 is 2/1631778
Least Common Multiple of 849,5766 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 849,5766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,5766) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(849,5766) x common factors =3 x 1 = 3
LCM(849,5766) = ( 849 × 5766 ) / 3
LCM(849,5766) = 4895334 / 3
LCM(849,5766) = 1631778
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FAQs on GCF of Fractions of 5304/849, 8066/5766
1. What is the HCF of 5304,8066?
The HCF of 5304,8066 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 5304/849, 8066/5766?
Answer: GCF of Numerators as per given numbers 5304/849, 8066/5766 is
GCF of Numerators i.e. for 5304,8066 is 2
LCM of denominators i.e. for 849,5766 is 1631778.
Thus, GCF of Fractions is 2/1631778.Finally, GCF of Fractions for 5304/849, 8066/5766 is 2/1631778.