GCF of 8060/399, 6760/169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8060/399, 6760/169 i.e 260/67431 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8060/399, 6760/169.
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 8060/399,6760/169?
Given fractions are 8060/399,6760/169
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 8060/399,6760/169, numerators are 8060,6760
Denominators are 399,169
The GCF of 8060,6760 is 260 .
LCM of 399,169 is 67431.
The greatest common factor of 8060/399,6760/169 = [GCF of 8060,6760]/[LCM of 399,169]= 260/67431
Therefore, the GCF of 8060/399,6760/169 is 260/67431.
To find the highest common factor of 8060,6760, we have to find the factors of both numbers and list the highest common factor.
The factors of 8060 are 1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060
The factors of 6760 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260, 338, 520, 676, 845, 1352, 1690, 3380, 6760
The HCF of 8060,6760 is 260.
Lets's calculate GCF of 8060,6760
| 2 | 8060, 6760 |
| 2 | 4030, 3380 |
| 5 | 2015, 1690 |
| 13 | 403, 338 |
| 31, 26 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 13 = 260
Greatest Common Factor of 8060,6760 By Matching Biggest Common Factor Method
Now, list down the factors of 8060
:1,2,4,5,10,13,20,26,31,52,62,65,124,130,155,260,310,403,620,806,1612,2015,4030,8060
Now, list down the factors of 6760
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,169,260,338,520,676,845,1352,1690,3380,6760
Greatest Common Factor
We found the factors 8060,6760 . The biggest common factor number is the GCF number.
So the greatest common factor 8060,6760 is 260.
Lets's calculate LCM of 399,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 67431
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 260/67431
Therefore, the GCF of Fractions 8060/399,6760/169 is 260/67431
Least Common Multiple of 399,169 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 399,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(399,169) x common factors =1 x 1 = 1
LCM(399,169) = ( 399 × 169 ) / 1
LCM(399,169) = 67431 / 1
LCM(399,169) = 67431
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FAQs on GCF of Fractions of 8060/399, 6760/169
1. What is the HCF of 8060,6760?
The HCF of 8060,6760 is 260
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 8060/399, 6760/169?
Answer: GCF of Numerators as per given numbers 8060/399, 6760/169 is
GCF of Numerators i.e. for 8060,6760 is 260
LCM of denominators i.e. for 399,169 is 67431.
Thus, GCF of Fractions is 260/67431.Finally, GCF of Fractions for 8060/399, 6760/169 is 260/67431.