GCF of 8060/809, 8070/3175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8060/809, 8070/3175 i.e 10/2568575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8060/809, 8070/3175.
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 8060/809,8070/3175?
Given fractions are 8060/809,8070/3175
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 8060/809,8070/3175, numerators are 8060,8070
Denominators are 809,3175
The GCF of 8060,8070 is 10 .
LCM of 809,3175 is 2568575.
The greatest common factor of 8060/809,8070/3175 = [GCF of 8060,8070]/[LCM of 809,3175]= 10/2568575
Therefore, the GCF of 8060/809,8070/3175 is 10/2568575.
To find the highest common factor of 8060,8070, 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 8070 are 1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035, 8070
The HCF of 8060,8070 is 10.
Lets's calculate GCF of 8060,8070
| 2 | 8060, 8070 |
| 5 | 4030, 4035 |
| 806, 807 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8060,8070 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 8070
:1,2,3,5,6,10,15,30,269,538,807,1345,1614,2690,4035,8070
Greatest Common Factor
We found the factors 8060,8070 . The biggest common factor number is the GCF number.
So the greatest common factor 8060,8070 is 10.
Lets's calculate LCM of 809,3175
Given numbers has no common factors except 1. So, there LCM is their product i.e 2568575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2568575
Therefore, the GCF of Fractions 8060/809,8070/3175 is 10/2568575
Least Common Multiple of 809,3175 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 809,3175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,3175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,3175) x common factors =1 x 1 = 1
LCM(809,3175) = ( 809 × 3175 ) / 1
LCM(809,3175) = 2568575 / 1
LCM(809,3175) = 2568575
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FAQs on GCF of Fractions of 8060/809, 8070/3175
1. What is the HCF of 8060,8070?
The HCF of 8060,8070 is 10
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 8060/809, 8070/3175?
Answer: GCF of Numerators as per given numbers 8060/809, 8070/3175 is
GCF of Numerators i.e. for 8060,8070 is 10
LCM of denominators i.e. for 809,3175 is 2568575.
Thus, GCF of Fractions is 10/2568575.Finally, GCF of Fractions for 8060/809, 8070/3175 is 10/2568575.