Two musical notes played at the same time produce harmony. The closest harmony is produced by frequencies with the greatest GCF. A,C,and C sharp have frequencies of 220,264,and 275, respectively. Which pair of these notes produces the closest harmony?

Answer 1

1 * 275 = 275.
5 * 55 = 275.
11 * 25 = 275.

1 * 264 = 264.
2 * 132 = 264.
3 * 88 = 264.
4 * 66 = 264.
6 * 44 = 264.

1 * 220 = 220.
2 * 110 = 220.
4 * 55 = 220.
5 * 44 = 220.
10 * 22 = 220.

220 and 275 have the GCF:
GCF = 55.