GCF of 5301/853, 8160/6399
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5301/853, 8160/6399 i.e 3/5458347 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5301/853, 8160/6399.
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 5301/853,8160/6399?
Given fractions are 5301/853,8160/6399
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 5301/853,8160/6399, numerators are 5301,8160
Denominators are 853,6399
The GCF of 5301,8160 is 3 .
LCM of 853,6399 is 5458347.
The greatest common factor of 5301/853,8160/6399 = [GCF of 5301,8160]/[LCM of 853,6399]= 3/5458347
Therefore, the GCF of 5301/853,8160/6399 is 3/5458347.
To find the highest common factor of 5301,8160, we have to find the factors of both numbers and list the highest common factor.
The factors of 5301 are 1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301
The factors of 8160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160
The HCF of 5301,8160 is 3.
Lets's calculate GCF of 5301,8160
| 3 | 5301, 8160 |
| 1767, 2720 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5301,8160 By Matching Biggest Common Factor Method
Now, list down the factors of 5301
:1,3,9,19,31,57,93,171,279,589,1767,5301
Now, list down the factors of 8160
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,32,34,40,48,51,60,68,80,85,96,102,120,136,160,170,204,240,255,272,340,408,480,510,544,680,816,1020,1360,1632,2040,2720,4080,8160
Greatest Common Factor
We found the factors 5301,8160 . The biggest common factor number is the GCF number.
So the greatest common factor 5301,8160 is 3.
Lets's calculate LCM of 853,6399
Given numbers has no common factors except 1. So, there LCM is their product i.e 5458347
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5458347
Therefore, the GCF of Fractions 5301/853,8160/6399 is 3/5458347
Least Common Multiple of 853,6399 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 853,6399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,6399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,6399) x common factors =1 x 1 = 1
LCM(853,6399) = ( 853 × 6399 ) / 1
LCM(853,6399) = 5458347 / 1
LCM(853,6399) = 5458347
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FAQs on GCF of Fractions of 5301/853, 8160/6399
1. What is the HCF of 5301,8160?
The HCF of 5301,8160 is 3
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 5301/853, 8160/6399?
Answer: GCF of Numerators as per given numbers 5301/853, 8160/6399 is
GCF of Numerators i.e. for 5301,8160 is 3
LCM of denominators i.e. for 853,6399 is 5458347.
Thus, GCF of Fractions is 3/5458347.Finally, GCF of Fractions for 5301/853, 8160/6399 is 3/5458347.