GCF of 2206/425, 5838/4254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2206/425, 5838/4254 i.e 2/1807950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2206/425, 5838/4254.
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 2206/425,5838/4254?
Given fractions are 2206/425,5838/4254
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 2206/425,5838/4254, numerators are 2206,5838
Denominators are 425,4254
The GCF of 2206,5838 is 2 .
LCM of 425,4254 is 1807950.
The greatest common factor of 2206/425,5838/4254 = [GCF of 2206,5838]/[LCM of 425,4254]= 2/1807950
Therefore, the GCF of 2206/425,5838/4254 is 2/1807950.
To find the highest common factor of 2206,5838, we have to find the factors of both numbers and list the highest common factor.
The factors of 2206 are 1, 2, 1103, 2206
The factors of 5838 are 1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838
The HCF of 2206,5838 is 2.
Lets's calculate GCF of 2206,5838
| 2 | 2206, 5838 |
| 1103, 2919 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2206,5838 By Matching Biggest Common Factor Method
Now, list down the factors of 2206
:1,2,1103,2206
Now, list down the factors of 5838
:1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838
Greatest Common Factor
We found the factors 2206,5838 . The biggest common factor number is the GCF number.
So the greatest common factor 2206,5838 is 2.
Lets's calculate LCM of 425,4254
Given numbers has no common factors except 1. So, there LCM is their product i.e 1807950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1807950
Therefore, the GCF of Fractions 2206/425,5838/4254 is 2/1807950
Least Common Multiple of 425,4254 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 425,4254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,4254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(425,4254) x common factors =1 x 1 = 1
LCM(425,4254) = ( 425 × 4254 ) / 1
LCM(425,4254) = 1807950 / 1
LCM(425,4254) = 1807950
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2206/425, 5838/4254
1. What is the HCF of 2206,5838?
The HCF of 2206,5838 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 2206/425, 5838/4254?
Answer: GCF of Numerators as per given numbers 2206/425, 5838/4254 is
GCF of Numerators i.e. for 2206,5838 is 2
LCM of denominators i.e. for 425,4254 is 1807950.
Thus, GCF of Fractions is 2/1807950.Finally, GCF of Fractions for 2206/425, 5838/4254 is 2/1807950.