GCF of 2622/582, 3061/1164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2622/582, 3061/1164 i.e 1/1164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2622/582, 3061/1164.
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 2622/582,3061/1164?
Given fractions are 2622/582,3061/1164
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 2622/582,3061/1164, numerators are 2622,3061
Denominators are 582,1164
The GCF of 2622,3061 is 1 .
LCM of 582,1164 is 1164.
The greatest common factor of 2622/582,3061/1164 = [GCF of 2622,3061]/[LCM of 582,1164]= 1/1164
Therefore, the GCF of 2622/582,3061/1164 is 1/1164.
To find the highest common factor of 2622,3061, we have to find the factors of both numbers and list the highest common factor.
The factors of 2622 are 1, 2, 3, 6, 19, 23, 38, 46, 57, 69, 114, 138, 437, 874, 1311, 2622
The factors of 3061 are 1, 3061
The HCF of 2622,3061 is 1.
Lets's calculate GCF of 2622,3061
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2622,3061 By Matching Biggest Common Factor Method
Now, list down the factors of 2622
:1,2,3,6,19,23,38,46,57,69,114,138,437,874,1311,2622
Now, list down the factors of 3061
:1,3061
Greatest Common Factor
We found the factors 2622,3061 . The biggest common factor number is the GCF number.
So the greatest common factor 2622,3061 is 1.
Lets's calculate LCM of 582,1164
| 2 | 582, 1164 |
| 3 | 291, 582 |
| 97 | 97, 194 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 1 x 2 = 1164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1164
Therefore, the GCF of Fractions 2622/582,3061/1164 is 1/1164
Least Common Multiple of 582,1164 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 582,1164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,1164) = 582
common factors(in case of two or more numbers have common factors) = 1
GCF(582,1164) x common factors =582 x 1 = 582
LCM(582,1164) = ( 582 × 1164 ) / 582
LCM(582,1164) = 677448 / 582
LCM(582,1164) = 1164
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FAQs on GCF of Fractions of 2622/582, 3061/1164
1. What is the HCF of 2622,3061?
The HCF of 2622,3061 is 1
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 2622/582, 3061/1164?
Answer: GCF of Numerators as per given numbers 2622/582, 3061/1164 is
GCF of Numerators i.e. for 2622,3061 is 1
LCM of denominators i.e. for 582,1164 is 1164.
Thus, GCF of Fractions is 1/1164.Finally, GCF of Fractions for 2622/582, 3061/1164 is 1/1164.