GCF of 886/323, 424/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 886/323, 424/369 i.e 2/119187 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/323, 424/369.
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 886/323,424/369?
Given fractions are 886/323,424/369
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 886/323,424/369, numerators are 886,424
Denominators are 323,369
The GCF of 886,424 is 2 .
LCM of 323,369 is 119187.
The greatest common factor of 886/323,424/369 = [GCF of 886,424]/[LCM of 323,369]= 2/119187
Therefore, the GCF of 886/323,424/369 is 2/119187.
To find the highest common factor of 886,424, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The HCF of 886,424 is 2.
Lets's calculate GCF of 886,424
| 2 | 886, 424 |
| 443, 212 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 886,424 By Matching Biggest Common Factor Method
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 886,424 . The biggest common factor number is the GCF number.
So the greatest common factor 886,424 is 2.
Lets's calculate LCM of 323,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 119187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/119187
Therefore, the GCF of Fractions 886/323,424/369 is 2/119187
Least Common Multiple of 323,369 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 323,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,369) x common factors =1 x 1 = 1
LCM(323,369) = ( 323 × 369 ) / 1
LCM(323,369) = 119187 / 1
LCM(323,369) = 119187
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 886/323, 424/369
1. What is the HCF of 886,424?
The HCF of 886,424 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 886/323, 424/369?
Answer: GCF of Numerators as per given numbers 886/323, 424/369 is
GCF of Numerators i.e. for 886,424 is 2
LCM of denominators i.e. for 323,369 is 119187.
Thus, GCF of Fractions is 2/119187.Finally, GCF of Fractions for 886/323, 424/369 is 2/119187.