Question

The product of two numbers are 126000. If their LCM is 2100, find their HCF?

Answer 1

Answer:

Using the J programming language:

Use J’s factoring function (q:) to factor 2100

q:2100

2 2 3 5 5 7

So there are 6 prime factors in 2100. in order to make two integers, each with an HCF of 5, we will need to split the set of factors such that there is a 5 in each set:

]a =. */ 2 2 3 5

60

]b =. */5 7

35

So the two integers would be 35 & 60

Check:

35 * 60

2100

HCF:

35 +. 60

5

LCM

35 *. 60

420

So the answer is 420 is the LCM of the two integers 35 & 60.

<<<<>>>>

Answer 2

Step-by-step explanation:

LCM*HCF=product of two numbers

2100*HCF=126000

HCF=126000/2100

HCF=60