GCF of 2482/666, 8210/3798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2482/666, 8210/3798 i.e 2/140526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2482/666, 8210/3798.
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 2482/666,8210/3798?
Given fractions are 2482/666,8210/3798
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 2482/666,8210/3798, numerators are 2482,8210
Denominators are 666,3798
The GCF of 2482,8210 is 2 .
LCM of 666,3798 is 140526.
The greatest common factor of 2482/666,8210/3798 = [GCF of 2482,8210]/[LCM of 666,3798]= 2/140526
Therefore, the GCF of 2482/666,8210/3798 is 2/140526.
To find the highest common factor of 2482,8210, we have to find the factors of both numbers and list the highest common factor.
The factors of 2482 are 1, 2, 17, 34, 73, 146, 1241, 2482
The factors of 8210 are 1, 2, 5, 10, 821, 1642, 4105, 8210
The HCF of 2482,8210 is 2.
Lets's calculate GCF of 2482,8210
| 2 | 2482, 8210 |
| 1241, 4105 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2482,8210 By Matching Biggest Common Factor Method
Now, list down the factors of 2482
:1,2,17,34,73,146,1241,2482
Now, list down the factors of 8210
:1,2,5,10,821,1642,4105,8210
Greatest Common Factor
We found the factors 2482,8210 . The biggest common factor number is the GCF number.
So the greatest common factor 2482,8210 is 2.
Lets's calculate LCM of 666,3798
| 2 | 666, 3798 |
| 3 | 333, 1899 |
| 3 | 111, 633 |
| 37, 211 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 37 x 211 = 140526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/140526
Therefore, the GCF of Fractions 2482/666,8210/3798 is 2/140526
Least Common Multiple of 666,3798 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 666,3798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,3798) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(666,3798) x common factors =18 x 1 = 18
LCM(666,3798) = ( 666 × 3798 ) / 18
LCM(666,3798) = 2529468 / 18
LCM(666,3798) = 140526
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FAQs on GCF of Fractions of 2482/666, 8210/3798
1. What is the HCF of 2482,8210?
The HCF of 2482,8210 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 2482/666, 8210/3798?
Answer: GCF of Numerators as per given numbers 2482/666, 8210/3798 is
GCF of Numerators i.e. for 2482,8210 is 2
LCM of denominators i.e. for 666,3798 is 140526.
Thus, GCF of Fractions is 2/140526.Finally, GCF of Fractions for 2482/666, 8210/3798 is 2/140526.