GCF of 8136/677, 1314/629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8136/677, 1314/629 i.e 18/425833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8136/677, 1314/629.
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 8136/677,1314/629?
Given fractions are 8136/677,1314/629
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 8136/677,1314/629, numerators are 8136,1314
Denominators are 677,629
The GCF of 8136,1314 is 18 .
LCM of 677,629 is 425833.
The greatest common factor of 8136/677,1314/629 = [GCF of 8136,1314]/[LCM of 677,629]= 18/425833
Therefore, the GCF of 8136/677,1314/629 is 18/425833.
To find the highest common factor of 8136,1314, we have to find the factors of both numbers and list the highest common factor.
The factors of 8136 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136
The factors of 1314 are 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314
The HCF of 8136,1314 is 18.
Lets's calculate GCF of 8136,1314
| 2 | 8136, 1314 |
| 3 | 4068, 657 |
| 3 | 1356, 219 |
| 452, 73 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 8136,1314 By Matching Biggest Common Factor Method
Now, list down the factors of 8136
:1,2,3,4,6,8,9,12,18,24,36,72,113,226,339,452,678,904,1017,1356,2034,2712,4068,8136
Now, list down the factors of 1314
:1,2,3,6,9,18,73,146,219,438,657,1314
Greatest Common Factor
We found the factors 8136,1314 . The biggest common factor number is the GCF number.
So the greatest common factor 8136,1314 is 18.
Lets's calculate LCM of 677,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 425833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/425833
Therefore, the GCF of Fractions 8136/677,1314/629 is 18/425833
Least Common Multiple of 677,629 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 677,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,629) x common factors =1 x 1 = 1
LCM(677,629) = ( 677 × 629 ) / 1
LCM(677,629) = 425833 / 1
LCM(677,629) = 425833
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8136/677, 1314/629
1. What is the HCF of 8136,1314?
The HCF of 8136,1314 is 18
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 8136/677, 1314/629?
Answer: GCF of Numerators as per given numbers 8136/677, 1314/629 is
GCF of Numerators i.e. for 8136,1314 is 18
LCM of denominators i.e. for 677,629 is 425833.
Thus, GCF of Fractions is 18/425833.Finally, GCF of Fractions for 8136/677, 1314/629 is 18/425833.