Question

the lcm of 2 numbers is 1800. which of the following cannot be a hcf? 500,600,900,450​

Answer 1

Answer:

500

Step-by-step explanation:

because numbers other than 500 in given question like 600,900,450 which are divisible by 2 and they are the perfect divisors of 1800

so hence

500 is the number which is perfectly divisible by 2 but not the perfect divisor of 1800 which we can say it's not a common factor for both

Hence 500 is not a hcf.

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Answer 2

Answer:  PLS MARK BRAINLIEST

[1]   500 = 2² × 5³      [NOT POSSIBLE because 5 power MORE THAN L.C.M]

Step-by-step explanation:

let the two numbers be :

                  first number : "a"

            second number : "b"

so L.C.M. ( a , b) = 1800 = 2³ × 3² × 5²

now checking option foe H.C.F. :

[1]   500 = 2² × 5³      [NOT POSSIBLE because 5 power MORE THAN L.C.M]

[2]  600 = 2³ × 3¹ × 5²

[3]  900 = 2² × 3² × 5²

[4]  450 = 2¹ × 3² × 5²