GCF of 4100/418, 2121/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4100/418, 2121/686 i.e 1/143374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4100/418, 2121/686.
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 4100/418,2121/686?
Given fractions are 4100/418,2121/686
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 4100/418,2121/686, numerators are 4100,2121
Denominators are 418,686
The GCF of 4100,2121 is 1 .
LCM of 418,686 is 143374.
The greatest common factor of 4100/418,2121/686 = [GCF of 4100,2121]/[LCM of 418,686]= 1/143374
Therefore, the GCF of 4100/418,2121/686 is 1/143374.
To find the highest common factor of 4100,2121, we have to find the factors of both numbers and list the highest common factor.
The factors of 4100 are 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100
The factors of 2121 are 1, 3, 7, 21, 101, 303, 707, 2121
The HCF of 4100,2121 is 1.
Lets's calculate GCF of 4100,2121
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4100,2121 By Matching Biggest Common Factor Method
Now, list down the factors of 4100
:1,2,4,5,10,20,25,41,50,82,100,164,205,410,820,1025,2050,4100
Now, list down the factors of 2121
:1,3,7,21,101,303,707,2121
Greatest Common Factor
We found the factors 4100,2121 . The biggest common factor number is the GCF number.
So the greatest common factor 4100,2121 is 1.
Lets's calculate LCM of 418,686
| 2 | 418, 686 |
| 209, 343 |
∴ So the LCM of the given numbers is 2 x 209 x 343 = 143374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143374
Therefore, the GCF of Fractions 4100/418,2121/686 is 1/143374
Least Common Multiple of 418,686 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 418,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,686) x common factors =2 x 1 = 2
LCM(418,686) = ( 418 × 686 ) / 2
LCM(418,686) = 286748 / 2
LCM(418,686) = 143374
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FAQs on GCF of Fractions of 4100/418, 2121/686
1. What is the HCF of 4100,2121?
The HCF of 4100,2121 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 4100/418, 2121/686?
Answer: GCF of Numerators as per given numbers 4100/418, 2121/686 is
GCF of Numerators i.e. for 4100,2121 is 1
LCM of denominators i.e. for 418,686 is 143374.
Thus, GCF of Fractions is 1/143374.Finally, GCF of Fractions for 4100/418, 2121/686 is 1/143374.