What is the HCF of 45 and 90?

Answer 1

HCF of two numbers a & b is b if a is divisible by b.

Here, 90 is divisible by 45 so HCF is 45.

Alternate Methods:

1-

Prime factorization of 45 = 3x3x5

Prime factorization of 90 = 2x3x3x5

From the factorization it is clear that GCF = 3x3x5 = 45

2-

Factors of 45 are 1, 3, 5, 9, 15 & 45.

Factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 30, 45 & 90.

Common factors are 1, 3, 5, 9, 15 and 45 and the greatest common factor is 45.

Answer 2

Oh, dude, the Highest Common Factor (HCF) of 45 and 90 is like the largest number that divides both 45 and 90 evenly. So, you take the factors of each number - 45 is like 1, 3, 5, 9, 15, 45, and 90 is like 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90. The biggest number they both share is 45, so that's the HCF. Easy peasy!

Answer 3

Oh, honey, the highest common factor (HCF) of 45 and 90 is 45. It's like finding the biggest slice of cake you can cut from both numbers without any leftovers. So, in this case, 45 is the winner winner, chicken dinner.

Answer 4

Oh, let's take a moment to appreciate the beauty of numbers! The Highest Common Factor (HCF) of 45 and 90 is 45. You see, the HCF is the largest number that divides evenly into both 45 and 90, like a gentle brushstroke connecting two lovely numbers.

Answer 5

45