GCF of 6279/128, 7609/8192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6279/128, 7609/8192 i.e 7/8192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6279/128, 7609/8192.
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 6279/128,7609/8192?
Given fractions are 6279/128,7609/8192
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 6279/128,7609/8192, numerators are 6279,7609
Denominators are 128,8192
The GCF of 6279,7609 is 7 .
LCM of 128,8192 is 8192.
The greatest common factor of 6279/128,7609/8192 = [GCF of 6279,7609]/[LCM of 128,8192]= 7/8192
Therefore, the GCF of 6279/128,7609/8192 is 7/8192.
To find the highest common factor of 6279,7609, we have to find the factors of both numbers and list the highest common factor.
The factors of 6279 are 1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093, 6279
The factors of 7609 are 1, 7, 1087, 7609
The HCF of 6279,7609 is 7.
Lets's calculate GCF of 6279,7609
| 7 | 6279, 7609 |
| 897, 1087 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6279,7609 By Matching Biggest Common Factor Method
Now, list down the factors of 6279
:1,3,7,13,21,23,39,69,91,161,273,299,483,897,2093,6279
Now, list down the factors of 7609
:1,7,1087,7609
Greatest Common Factor
We found the factors 6279,7609 . The biggest common factor number is the GCF number.
So the greatest common factor 6279,7609 is 7.
Lets's calculate LCM of 128,8192
| 2 | 128, 8192 |
| 2 | 64, 4096 |
| 2 | 32, 2048 |
| 2 | 16, 1024 |
| 2 | 8, 512 |
| 2 | 4, 256 |
| 2 | 2, 128 |
| 1, 64 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1 x 64 = 8192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/8192
Therefore, the GCF of Fractions 6279/128,7609/8192 is 7/8192
Least Common Multiple of 128,8192 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 128,8192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,8192) = 128
common factors(in case of two or more numbers have common factors) = 1
GCF(128,8192) x common factors =128 x 1 = 128
LCM(128,8192) = ( 128 × 8192 ) / 128
LCM(128,8192) = 1048576 / 128
LCM(128,8192) = 8192
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FAQs on GCF of Fractions of 6279/128, 7609/8192
1. What is the HCF of 6279,7609?
The HCF of 6279,7609 is 7
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 6279/128, 7609/8192?
Answer: GCF of Numerators as per given numbers 6279/128, 7609/8192 is
GCF of Numerators i.e. for 6279,7609 is 7
LCM of denominators i.e. for 128,8192 is 8192.
Thus, GCF of Fractions is 7/8192.Finally, GCF of Fractions for 6279/128, 7609/8192 is 7/8192.