Find the HCF & LCM of: 1. 30,50 2. 65,91 3. 120,63,42 4. 85,34,153 5. 72,240,360 answer with steps and verify question one and two with product of lcm and hcf

Kindly check explanation

Step-by-step explanation:

1.)

30, 50

L.C.M :

Multiples of 30 : 30, 60, 90, 120, 150, 180, 210

Multiples of 50: 50, 100, 150, 200, 250

Lowest common multiple = 150

Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30

Factors of 50 : 1, 2, 5,10, 25, and 50

H. C. F = 10

2.)

65, 91

Multiples of 65 : 65, 130, 195, 260, 325, 390, 455

Multiples of 91: 91, 182, 273, 364, 455

L.C.M = 455

H.C.F:

Factors of 65 : 1, 5, 13, 65

Factors of 91 : 1, 7, 13, 91

H.C.F = 13

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft