GCF of 8040/491, 1695/659
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8040/491, 1695/659 i.e 15/323569 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8040/491, 1695/659.
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 8040/491,1695/659?
Given fractions are 8040/491,1695/659
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 8040/491,1695/659, numerators are 8040,1695
Denominators are 491,659
The GCF of 8040,1695 is 15 .
LCM of 491,659 is 323569.
The greatest common factor of 8040/491,1695/659 = [GCF of 8040,1695]/[LCM of 491,659]= 15/323569
Therefore, the GCF of 8040/491,1695/659 is 15/323569.
To find the highest common factor of 8040,1695, we have to find the factors of both numbers and list the highest common factor.
The factors of 8040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020, 8040
The factors of 1695 are 1, 3, 5, 15, 113, 339, 565, 1695
The HCF of 8040,1695 is 15.
Lets's calculate GCF of 8040,1695
| 3 | 8040, 1695 |
| 5 | 2680, 565 |
| 536, 113 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 8040,1695 By Matching Biggest Common Factor Method
Now, list down the factors of 8040
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,67,120,134,201,268,335,402,536,670,804,1005,1340,1608,2010,2680,4020,8040
Now, list down the factors of 1695
:1,3,5,15,113,339,565,1695
Greatest Common Factor
We found the factors 8040,1695 . The biggest common factor number is the GCF number.
So the greatest common factor 8040,1695 is 15.
Lets's calculate LCM of 491,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 323569
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/323569
Therefore, the GCF of Fractions 8040/491,1695/659 is 15/323569
Least Common Multiple of 491,659 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 491,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,659) x common factors =1 x 1 = 1
LCM(491,659) = ( 491 × 659 ) / 1
LCM(491,659) = 323569 / 1
LCM(491,659) = 323569
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FAQs on GCF of Fractions of 8040/491, 1695/659
1. What is the HCF of 8040,1695?
The HCF of 8040,1695 is 15
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 8040/491, 1695/659?
Answer: GCF of Numerators as per given numbers 8040/491, 1695/659 is
GCF of Numerators i.e. for 8040,1695 is 15
LCM of denominators i.e. for 491,659 is 323569.
Thus, GCF of Fractions is 15/323569.Finally, GCF of Fractions for 8040/491, 1695/659 is 15/323569.