GCF of 2057/122, 8668/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2057/122, 8668/686 i.e 11/41846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2057/122, 8668/686.
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 2057/122,8668/686?
Given fractions are 2057/122,8668/686
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 2057/122,8668/686, numerators are 2057,8668
Denominators are 122,686
The GCF of 2057,8668 is 11 .
LCM of 122,686 is 41846.
The greatest common factor of 2057/122,8668/686 = [GCF of 2057,8668]/[LCM of 122,686]= 11/41846
Therefore, the GCF of 2057/122,8668/686 is 11/41846.
To find the highest common factor of 2057,8668, we have to find the factors of both numbers and list the highest common factor.
The factors of 2057 are 1, 11, 17, 121, 187, 2057
The factors of 8668 are 1, 2, 4, 11, 22, 44, 197, 394, 788, 2167, 4334, 8668
The HCF of 2057,8668 is 11.
Lets's calculate GCF of 2057,8668
| 11 | 2057, 8668 |
| 187, 788 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2057,8668 By Matching Biggest Common Factor Method
Now, list down the factors of 2057
:1,11,17,121,187,2057
Now, list down the factors of 8668
:1,2,4,11,22,44,197,394,788,2167,4334,8668
Greatest Common Factor
We found the factors 2057,8668 . The biggest common factor number is the GCF number.
So the greatest common factor 2057,8668 is 11.
Lets's calculate LCM of 122,686
| 2 | 122, 686 |
| 61, 343 |
∴ So the LCM of the given numbers is 2 x 61 x 343 = 41846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/41846
Therefore, the GCF of Fractions 2057/122,8668/686 is 11/41846
Least Common Multiple of 122,686 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 122,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,686) x common factors =2 x 1 = 2
LCM(122,686) = ( 122 × 686 ) / 2
LCM(122,686) = 83692 / 2
LCM(122,686) = 41846
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FAQs on GCF of Fractions of 2057/122, 8668/686
1. What is the HCF of 2057,8668?
The HCF of 2057,8668 is 11
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 2057/122, 8668/686?
Answer: GCF of Numerators as per given numbers 2057/122, 8668/686 is
GCF of Numerators i.e. for 2057,8668 is 11
LCM of denominators i.e. for 122,686 is 41846.
Thus, GCF of Fractions is 11/41846.Finally, GCF of Fractions for 2057/122, 8668/686 is 11/41846.