Find the number of co-primes to 100 that are less than 100.___

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Solution

Since $100 = 2^{2} \times 5^{2}$ so total number of such numbers that are less than 100 and co-prime to 100 is
$100 (1 - \frac{1}{2}) (1 - \frac{1}{5}) = 40$

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Find the number of co-primes to 100 that are less than 100.___

Since 100=22×52 so total number of such numbers that are less than 100 and co-prime to 100 is 100(1−12)(1−15)=40

Since $100 = 2^{2} \times 5^{2}$ so total number of such numbers that are less than 100 and co-prime to 100 is
$100 (1 - \frac{1}{2}) (1 - \frac{1}{5}) = 40$