The answer is 4 and 10.
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HCF of 20 means the two numbers have common prime factors of 2, 2 and 5. However, LCM of 535 means that both of the numbers are odd. This cannot be the case if they have a prime factor of 2. Thus two numbers cannot have 20 as hcf and 535 as lcm.
GCF is 60, LCM is 900
The HCF of 39 and 20 is 1
An HCF of 5 means that the numbers have a common prime factor of 5, but nothing else. A LCM of 60 means the numbers have between them the factors 2, 2, 3 and 5. The 2s cannot be split or the HCF would be higher, so both must go to one number. Assuming the numbers aren't just 60 and 5, the three must go to the other number, giving us: 3x5 and 2x2x5 =15 and 20
LCM is 20, which is the multiple of the highest power of prime factors in the given numbers (22 x 5).The LCM is 20.