GCF of 86/192, 212/443, 458/856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/192, 212/443, 458/856 i.e 2/9100992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/192, 212/443, 458/856.
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 86/192,212/443,458/856?
Given fractions are 86/192,212/443,458/856
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 86/192,212/443,458/856, numerators are 86,212,458
Denominators are 192,443,856
The GCF of 86,212,458 is 2 .
LCM of 192,443,856 is 9100992.
The greatest common factor of 86/192,212/443,458/856 = [GCF of 86,212,458]/[LCM of 192,443,856]= 2/9100992
Therefore, the GCF of 86/192,212/443,458/856 is 2/9100992.
To find the highest common factor of 86,212,458, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 212 are 1, 2, 4, 53, 106, 212
The factors of 458 are 1, 2, 229, 458
The HCF of 86,212,458 is 2.
Lets's calculate GCF of 86,212,458
| 2 | 86, 212, 458 |
| 43, 106, 229 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 86,212,458 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 212
:1,2,4,53,106,212
Now, list down the factors of 458
:1,2,229,458
Greatest Common Factor
We found the factors 86,212,458 . The biggest common factor number is the GCF number.
So the greatest common factor 86,212,458 is 2.
Lets's calculate LCM of 192,443,856
| 2 | 192, 443, 856 |
| 2 | 96, 443, 428 |
| 2 | 48, 443, 214 |
| 24, 443, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 24 x 443 x 107 = 9100992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9100992
Therefore, the GCF of Fractions 86/192,212/443,458/856 is 2/9100992
Least Common Multiple of 192,443,856 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 192,443,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,443,856) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(192,443,856) x common factors =1 x 8 = 8
LCM(192,443,856) = ( 192 × 443 × 856 ) / 8
LCM(192,443,856) = 72807936 / 8
LCM(192,443,856) = 9100992
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 86/192, 212/443, 458/856
1. What is the HCF of 86,212,458?
The HCF of 86,212,458 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 86/192, 212/443, 458/856?
Answer: GCF of Numerators as per given numbers 86/192, 212/443, 458/856 is
GCF of Numerators i.e. for 86,212,458 is 2
LCM of denominators i.e. for 192,443,856 is 9100992.
Thus, GCF of Fractions is 2/9100992.Finally, GCF of Fractions for 86/192, 212/443, 458/856 is 2/9100992.