Question

What is the GCF and LCM of 150,175 and 200?

Answer 1

`HCF = 25 and LCM = 4,200`

Explanation:

Write each number as the product of its prime factors.

Then you see what are made up of and what they have in common:

`" "150 = 2color(white)(xxxxxx)xx3xxcolor(blue)(5xx5)`
`" "175 = color(white)(xxxxx.xxxx)xxcolor(blue)(5xx5)xx7`
`" "200 = ul(2xx2xx2color(white)(x..x)xxcolor(blue)(5xx5)" ")`

`" "HCF=color(white)(xxxxx.xxxxx)color(blue)(5xx5)=25`

`" "LCM = 2xx2xx2xx3xx5xx5xx7 = 4,200`