GCF of 8192/574, 4249/343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8192/574, 4249/343 i.e 1/28126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8192/574, 4249/343.
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 8192/574,4249/343?
Given fractions are 8192/574,4249/343
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 8192/574,4249/343, numerators are 8192,4249
Denominators are 574,343
The GCF of 8192,4249 is 1 .
LCM of 574,343 is 28126.
The greatest common factor of 8192/574,4249/343 = [GCF of 8192,4249]/[LCM of 574,343]= 1/28126
Therefore, the GCF of 8192/574,4249/343 is 1/28126.
To find the highest common factor of 8192,4249, we have to find the factors of both numbers and list the highest common factor.
The factors of 8192 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192
The factors of 4249 are 1, 7, 607, 4249
The HCF of 8192,4249 is 1.
Lets's calculate GCF of 8192,4249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8192,4249 By Matching Biggest Common Factor Method
Now, list down the factors of 8192
:1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192
Now, list down the factors of 4249
:1,7,607,4249
Greatest Common Factor
We found the factors 8192,4249 . The biggest common factor number is the GCF number.
So the greatest common factor 8192,4249 is 1.
Lets's calculate LCM of 574,343
| 7 | 574, 343 |
| 82, 49 |
∴ So the LCM of the given numbers is 7 x 82 x 49 = 28126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28126
Therefore, the GCF of Fractions 8192/574,4249/343 is 1/28126
Least Common Multiple of 574,343 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 574,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,343) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(574,343) x common factors =7 x 1 = 7
LCM(574,343) = ( 574 × 343 ) / 7
LCM(574,343) = 196882 / 7
LCM(574,343) = 28126
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8192/574, 4249/343
1. What is the HCF of 8192,4249?
The HCF of 8192,4249 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 8192/574, 4249/343?
Answer: GCF of Numerators as per given numbers 8192/574, 4249/343 is
GCF of Numerators i.e. for 8192,4249 is 1
LCM of denominators i.e. for 574,343 is 28126.
Thus, GCF of Fractions is 1/28126.Finally, GCF of Fractions for 8192/574, 4249/343 is 1/28126.