Which set of numbers has a greatest common factor of 1 ?
a. 2,3,and 6
b. 2,200, and 400
c. 3,9,and 27
d. 22,33,and 99
e. 100,500, and 2,500
please answer and explain
To find the set of numbers with the greatest common factor of 1, we need to determine which set has no common factors other than 1.
a. The numbers 2, 3, and 6 have a common factor of 1 since none of them can be divided evenly by any other number in the set.
b. The numbers 2, 200, and 400 have a common factor of 2 since all three numbers are divisible by 2.
c. The numbers 3, 9, and 27 have a common factor of 3 since all three numbers are divisible by 3.
d. The numbers 22, 33, and 99 have a common factor of 11 since all three numbers are divisible by 11.
e. The numbers 100, 500, and 2,500 have a common factor of 100 since all three numbers are divisible by 100.
Therefore, the set of numbers with the greatest common factor of 1 is option a, which includes the numbers 2, 3, and 6.
the factors of a) are
2,1
3,1
6,3, or 6,1 the greatest common factor is 1.
the factors of d are
11,2 ; 22,1
33,1, ; 11,3
99,1; 33,3; 11,9
the greatest COMMON factor is 11