Question

I am a number twice the hcf of 240,300,450. who am I

Answer 1

Answer:

150

Step-by-step explanation:

Find the prime factorization of 300

300 = 2 × 2 × 3 × 5 × 5

Find the prime factorization of 450

450 = 2 × 3 × 3 × 5 × 5

To find the Hcf, multiply all the prime factors common to both numbers:

Therefore, HCF = 2 × 3 × 5 × 5

HCF = 150

Answer 2

Given,

240, 300, and 450 are three numbers.

To find,

Twice of the H.C.F of the numbers 240, 300, and 450.

Solution,

The number twice the H.C.F of 240, 300, and 450 is 60.

The following procedure can be used to quickly solve the mathematical problem.

We know that the H.C.F of the provided numbers is the maximum value of factors common in the numbers for which the H.C.F is to be found.

Now,

Factors of 240 = 2 x 2 x 2 x 2 x 3 x 5

Factors of 300 = 2 x 2 x 3 x 5 x 5

Factors of 450 = 2 x 3 x 3 x 5 x 5

As we can see, the common factor of 240, 300, and 450 is 30 (2 x3 x 5).

Thus,

The H.C.F of 240, 300, and 450 equals 30.

Now, the number 60 is equal to the H.C.F of the three numbers multiplied by two.