GCF of 5143/258, 4192/146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5143/258, 4192/146 i.e 1/18834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5143/258, 4192/146.
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 5143/258,4192/146?
Given fractions are 5143/258,4192/146
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 5143/258,4192/146, numerators are 5143,4192
Denominators are 258,146
The GCF of 5143,4192 is 1 .
LCM of 258,146 is 18834.
The greatest common factor of 5143/258,4192/146 = [GCF of 5143,4192]/[LCM of 258,146]= 1/18834
Therefore, the GCF of 5143/258,4192/146 is 1/18834.
To find the highest common factor of 5143,4192, we have to find the factors of both numbers and list the highest common factor.
The factors of 5143 are 1, 37, 139, 5143
The factors of 4192 are 1, 2, 4, 8, 16, 32, 131, 262, 524, 1048, 2096, 4192
The HCF of 5143,4192 is 1.
Lets's calculate GCF of 5143,4192
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5143,4192 By Matching Biggest Common Factor Method
Now, list down the factors of 5143
:1,37,139,5143
Now, list down the factors of 4192
:1,2,4,8,16,32,131,262,524,1048,2096,4192
Greatest Common Factor
We found the factors 5143,4192 . The biggest common factor number is the GCF number.
So the greatest common factor 5143,4192 is 1.
Lets's calculate LCM of 258,146
| 2 | 258, 146 |
| 129, 73 |
∴ So the LCM of the given numbers is 2 x 129 x 73 = 18834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18834
Therefore, the GCF of Fractions 5143/258,4192/146 is 1/18834
Least Common Multiple of 258,146 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 258,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,146) x common factors =2 x 1 = 2
LCM(258,146) = ( 258 × 146 ) / 2
LCM(258,146) = 37668 / 2
LCM(258,146) = 18834
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5143/258, 4192/146
1. What is the HCF of 5143,4192?
The HCF of 5143,4192 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 5143/258, 4192/146?
Answer: GCF of Numerators as per given numbers 5143/258, 4192/146 is
GCF of Numerators i.e. for 5143,4192 is 1
LCM of denominators i.e. for 258,146 is 18834.
Thus, GCF of Fractions is 1/18834.Finally, GCF of Fractions for 5143/258, 4192/146 is 1/18834.