GCF of 8710/677, 6584/5017
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8710/677, 6584/5017 i.e 2/3396509 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8710/677, 6584/5017.
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 8710/677,6584/5017?
Given fractions are 8710/677,6584/5017
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 8710/677,6584/5017, numerators are 8710,6584
Denominators are 677,5017
The GCF of 8710,6584 is 2 .
LCM of 677,5017 is 3396509.
The greatest common factor of 8710/677,6584/5017 = [GCF of 8710,6584]/[LCM of 677,5017]= 2/3396509
Therefore, the GCF of 8710/677,6584/5017 is 2/3396509.
To find the highest common factor of 8710,6584, we have to find the factors of both numbers and list the highest common factor.
The factors of 8710 are 1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710
The factors of 6584 are 1, 2, 4, 8, 823, 1646, 3292, 6584
The HCF of 8710,6584 is 2.
Lets's calculate GCF of 8710,6584
| 2 | 8710, 6584 |
| 4355, 3292 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8710,6584 By Matching Biggest Common Factor Method
Now, list down the factors of 8710
:1,2,5,10,13,26,65,67,130,134,335,670,871,1742,4355,8710
Now, list down the factors of 6584
:1,2,4,8,823,1646,3292,6584
Greatest Common Factor
We found the factors 8710,6584 . The biggest common factor number is the GCF number.
So the greatest common factor 8710,6584 is 2.
Lets's calculate LCM of 677,5017
Given numbers has no common factors except 1. So, there LCM is their product i.e 3396509
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3396509
Therefore, the GCF of Fractions 8710/677,6584/5017 is 2/3396509
Least Common Multiple of 677,5017 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 677,5017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,5017) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,5017) x common factors =1 x 1 = 1
LCM(677,5017) = ( 677 × 5017 ) / 1
LCM(677,5017) = 3396509 / 1
LCM(677,5017) = 3396509
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FAQs on GCF of Fractions of 8710/677, 6584/5017
1. What is the HCF of 8710,6584?
The HCF of 8710,6584 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 8710/677, 6584/5017?
Answer: GCF of Numerators as per given numbers 8710/677, 6584/5017 is
GCF of Numerators i.e. for 8710,6584 is 2
LCM of denominators i.e. for 677,5017 is 3396509.
Thus, GCF of Fractions is 2/3396509.Finally, GCF of Fractions for 8710/677, 6584/5017 is 2/3396509.