Question

An integer “a“ is said to be relatively prime to an integer “b” if “a” and “b” have no common divisor greater than 1. The number of positive integers less than 175 and relatively prime to both 5 and 7 is __________
(2 Points)

a) 110

b) 120

c) 150

d) 140

e) 75​

Answer 1

Answer:

d) 140

Step-by-step explanation:

140 is divisible by both 5 and 7

140 = 5×28

140 = 7×20

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Answer 2

Answer: 140

Step-by-step explanation:

$140$ is divisible by both $5 and 7$

$140=5$ × $28$

$140=7$×$20$

∴The number of positive integers less than 175 and relatively prime to both 5 and 7 is  140.