Question

Three numbers are in the ratio of 2 5 3 and their lcm is 300. Find their hcf

Answer 1

given ratio is 2:5:3
therefore ,
2x+5x+3x=300 ------ given
10x= 300
X= 30
2x= 2* 30= 60;
5x= 5*30= 150 and
3x= 3* 30= 90
therefore,
hcf of ( 60,150,90)
60= 5*2*2*3
150=5*3*5*2
90=5*2*3*3
hcf of (60,150,90) = 5* 2* 3 = 30
hope it will help....☺️