GCF of 2188/462, 4198/3821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2188/462, 4198/3821 i.e 2/1765302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2188/462, 4198/3821.
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 2188/462,4198/3821?
Given fractions are 2188/462,4198/3821
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 2188/462,4198/3821, numerators are 2188,4198
Denominators are 462,3821
The GCF of 2188,4198 is 2 .
LCM of 462,3821 is 1765302.
The greatest common factor of 2188/462,4198/3821 = [GCF of 2188,4198]/[LCM of 462,3821]= 2/1765302
Therefore, the GCF of 2188/462,4198/3821 is 2/1765302.
To find the highest common factor of 2188,4198, we have to find the factors of both numbers and list the highest common factor.
The factors of 2188 are 1, 2, 4, 547, 1094, 2188
The factors of 4198 are 1, 2, 2099, 4198
The HCF of 2188,4198 is 2.
Lets's calculate GCF of 2188,4198
| 2 | 2188, 4198 |
| 1094, 2099 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2188,4198 By Matching Biggest Common Factor Method
Now, list down the factors of 2188
:1,2,4,547,1094,2188
Now, list down the factors of 4198
:1,2,2099,4198
Greatest Common Factor
We found the factors 2188,4198 . The biggest common factor number is the GCF number.
So the greatest common factor 2188,4198 is 2.
Lets's calculate LCM of 462,3821
Given numbers has no common factors except 1. So, there LCM is their product i.e 1765302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1765302
Therefore, the GCF of Fractions 2188/462,4198/3821 is 2/1765302
Least Common Multiple of 462,3821 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 462,3821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,3821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(462,3821) x common factors =1 x 1 = 1
LCM(462,3821) = ( 462 × 3821 ) / 1
LCM(462,3821) = 1765302 / 1
LCM(462,3821) = 1765302
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2188/462, 4198/3821
1. What is the HCF of 2188,4198?
The HCF of 2188,4198 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 2188/462, 4198/3821?
Answer: GCF of Numerators as per given numbers 2188/462, 4198/3821 is
GCF of Numerators i.e. for 2188,4198 is 2
LCM of denominators i.e. for 462,3821 is 1765302.
Thus, GCF of Fractions is 2/1765302.Finally, GCF of Fractions for 2188/462, 4198/3821 is 2/1765302.