GCF of 28/671, 644/369, 806/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/671, 644/369, 806/687 i.e 2/56700171 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/671, 644/369, 806/687.
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 28/671,644/369,806/687?
Given fractions are 28/671,644/369,806/687
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 28/671,644/369,806/687, numerators are 28,644,806
Denominators are 671,369,687
The GCF of 28,644,806 is 2 .
LCM of 671,369,687 is 56700171.
The greatest common factor of 28/671,644/369,806/687 = [GCF of 28,644,806]/[LCM of 671,369,687]= 2/56700171
Therefore, the GCF of 28/671,644/369,806/687 is 2/56700171.
To find the highest common factor of 28,644,806, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806
The HCF of 28,644,806 is 2.
Lets's calculate GCF of 28,644,806
| 2 | 28, 644, 806 |
| 14, 322, 403 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 28,644,806 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 644
:1,2,4,7,14,23,28,46,92,161,322,644
Now, list down the factors of 806
:1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 28,644,806 . The biggest common factor number is the GCF number.
So the greatest common factor 28,644,806 is 2.
Lets's calculate LCM of 671,369,687
| 3 | 671, 369, 687 |
| 671, 123, 229 |
∴ So the LCM of the given numbers is 3 x 671 x 123 x 229 = 56700171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56700171
Therefore, the GCF of Fractions 28/671,644/369,806/687 is 2/56700171
Least Common Multiple of 671,369,687 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 671,369,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,369,687) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(671,369,687) x common factors =1 x 3 = 3
LCM(671,369,687) = ( 671 × 369 × 687 ) / 3
LCM(671,369,687) = 170100513 / 3
LCM(671,369,687) = 56700171
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 28/671, 644/369, 806/687
1. What is the HCF of 28,644,806?
The HCF of 28,644,806 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 28/671, 644/369, 806/687?
Answer: GCF of Numerators as per given numbers 28/671, 644/369, 806/687 is
GCF of Numerators i.e. for 28,644,806 is 2
LCM of denominators i.e. for 671,369,687 is 56700171.
Thus, GCF of Fractions is 2/56700171.Finally, GCF of Fractions for 28/671, 644/369, 806/687 is 2/56700171.