GCF of 2734/384, 8192/248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2734/384, 8192/248 i.e 2/11904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2734/384, 8192/248.
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 2734/384,8192/248?
Given fractions are 2734/384,8192/248
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 2734/384,8192/248, numerators are 2734,8192
Denominators are 384,248
The GCF of 2734,8192 is 2 .
LCM of 384,248 is 11904.
The greatest common factor of 2734/384,8192/248 = [GCF of 2734,8192]/[LCM of 384,248]= 2/11904
Therefore, the GCF of 2734/384,8192/248 is 2/11904.
To find the highest common factor of 2734,8192, we have to find the factors of both numbers and list the highest common factor.
The factors of 2734 are 1, 2, 1367, 2734
The factors of 8192 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192
The HCF of 2734,8192 is 2.
Lets's calculate GCF of 2734,8192
| 2 | 2734, 8192 |
| 1367, 4096 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2734,8192 By Matching Biggest Common Factor Method
Now, list down the factors of 2734
:1,2,1367,2734
Now, list down the factors of 8192
:1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192
Greatest Common Factor
We found the factors 2734,8192 . The biggest common factor number is the GCF number.
So the greatest common factor 2734,8192 is 2.
Lets's calculate LCM of 384,248
| 2 | 384, 248 |
| 2 | 192, 124 |
| 2 | 96, 62 |
| 48, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 48 x 31 = 11904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11904
Therefore, the GCF of Fractions 2734/384,8192/248 is 2/11904
Least Common Multiple of 384,248 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 384,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,248) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(384,248) x common factors =8 x 1 = 8
LCM(384,248) = ( 384 × 248 ) / 8
LCM(384,248) = 95232 / 8
LCM(384,248) = 11904
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2734/384, 8192/248
1. What is the HCF of 2734,8192?
The HCF of 2734,8192 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 2734/384, 8192/248?
Answer: GCF of Numerators as per given numbers 2734/384, 8192/248 is
GCF of Numerators i.e. for 2734,8192 is 2
LCM of denominators i.e. for 384,248 is 11904.
Thus, GCF of Fractions is 2/11904.Finally, GCF of Fractions for 2734/384, 8192/248 is 2/11904.