Answer :
Answer:
30, 42
Step-by-step explanation:
"The Highest Common Factor (HCF) of my two numbers is 6"
The only factors the two numbers have in common are 2 and 3. Each number must have 2 and 3 as factors.
first number = 2 * 3 * ...
second number = 2 * 3 * ...
Since both numbers contain a 2 as a factor, both numbers must be even. The lowest common multiple is a multiple of 15, but it must be an even multiple of 15.
Multiples of 15: 15, 30, 45, 60, 75, 90, ...
We are interested only in the even multiples of 15: 30, 60, 90, ...
first number = 2 * 3 * 5 = 30
second number = 2 * 3 * 7 = 42
Example: 30, 42
The HCF is the largest number, which would be a factor in the two numbers and the LCM is multiple which is useful if fractions need to be expressed in the same name, and the further discussion can be defined as follows:
- "My two numbers have an HCF of 6".
- There are only two factors in the two numbers 2 and 3. The factors for each number must be 2 and 3.
- Number One[tex]= 2 \times 3 \times ...[/tex]
- Number Two [tex]= 2\times 3 \times ...................[/tex]
- Because the two numbers have a 2 as their factor, they must be equal. The lowest common multiple is 15, but it must be 15 times even.
- Multiples of [tex]15: 15, 30, 45, 60, 75, 90,.....[/tex]
- It is only the same number that interests us:[tex]15: 30, 60, 90,.....[/tex]
- Number one [tex]= 2 \times 3 \times 5 = 30[/tex]
- Number two [tex]= 2\times 3 \times 7 = 42[/tex]
So, the final answer is "30, 42"
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