GCF of 8644/575, 8192/7461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8644/575, 8192/7461 i.e 4/4290075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8644/575, 8192/7461.
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 8644/575,8192/7461?
Given fractions are 8644/575,8192/7461
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 8644/575,8192/7461, numerators are 8644,8192
Denominators are 575,7461
The GCF of 8644,8192 is 4 .
LCM of 575,7461 is 4290075.
The greatest common factor of 8644/575,8192/7461 = [GCF of 8644,8192]/[LCM of 575,7461]= 4/4290075
Therefore, the GCF of 8644/575,8192/7461 is 4/4290075.
To find the highest common factor of 8644,8192, we have to find the factors of both numbers and list the highest common factor.
The factors of 8644 are 1, 2, 4, 2161, 4322, 8644
The factors of 8192 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192
The HCF of 8644,8192 is 4.
Lets's calculate GCF of 8644,8192
| 2 | 8644, 8192 |
| 2 | 4322, 4096 |
| 2161, 2048 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8644,8192 By Matching Biggest Common Factor Method
Now, list down the factors of 8644
:1,2,4,2161,4322,8644
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 8644,8192 . The biggest common factor number is the GCF number.
So the greatest common factor 8644,8192 is 4.
Lets's calculate LCM of 575,7461
Given numbers has no common factors except 1. So, there LCM is their product i.e 4290075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4290075
Therefore, the GCF of Fractions 8644/575,8192/7461 is 4/4290075
Least Common Multiple of 575,7461 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 575,7461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,7461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,7461) x common factors =1 x 1 = 1
LCM(575,7461) = ( 575 × 7461 ) / 1
LCM(575,7461) = 4290075 / 1
LCM(575,7461) = 4290075
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FAQs on GCF of Fractions of 8644/575, 8192/7461
1. What is the HCF of 8644,8192?
The HCF of 8644,8192 is 4
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 8644/575, 8192/7461?
Answer: GCF of Numerators as per given numbers 8644/575, 8192/7461 is
GCF of Numerators i.e. for 8644,8192 is 4
LCM of denominators i.e. for 575,7461 is 4290075.
Thus, GCF of Fractions is 4/4290075.Finally, GCF of Fractions for 8644/575, 8192/7461 is 4/4290075.