Two integers m and n are called relatively prime if 1 is

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QUESTION:

Two integers m and n are called relatively prime if 1 is their only common positive divisor. Thus 8 and 5 are relatively prime, whereas 8 and 6 are not. A number is selected at random from the set {1, 2, 3, . . . , 63}. Find the probability that it is relatively prime to 63.

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QUESTION:

Two integers m and n are called relatively prime if 1 is their only common positive divisor. Thus 8 and 5 are relatively prime, whereas 8 and 6 are not. A number is selected at random from the set {1, 2, 3, . . . , 63}. Find the probability that it is relatively prime to 63.

ANSWER:

Step 1 of 4

We are given the set:

The numbers relatively prime to 63 should not be divisible by any of the divisors of 63 which are:

3,7

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