Question

6: Emily thinks of two numbers. The highest common factor (HCF) of the two numbers is 1. The lowest common multiple (LCM) of the two numbers is a multiple of 40. Write down two possible numbers that Emily could be thinking of 1x3 Pall (3​

Answer 1

If the highest common factor (HCF) of two numbers is 1, it means the two numbers are coprime, i.e., they have no common prime factors. The lowest common multiple (LCM) of two numbers being a multiple of 40 means that the two numbers could be divisors of 40.

Here are two sets of numbers that Emily could be thinking of:

20 and 2: The HCF of 20 and 2 is 1, and the LCM is 40.

40 and 1: The HCF of 40 and 1 is 1, and the LCM is 40.

These are just examples, and there could be other pairs as well. Please note that in each pair, both numbers are divisors of 40, and they are coprime to each other.