Gcd and lcm

Calculate the greatest common divisor and the least common multiple of numbers.
a) 16 and 18
b) 24 and 22
c) 45 and 60
d) 36 and 30

Correct answer:

a1 =  2
a2 =  144
b1 =  2
b2 =  264
c1 =  15
c2 =  180
d1 =  6
d2 =  180

Step-by-step explanation:

16=24 18=2⋅32 GCD(16,18)=2  a1​=GCD(16,18)=2
16=24 18=2⋅32 LCM(16,18)=24⋅32=144  a2​=LCM(16,18)=144
24=23⋅3 22=2⋅11 GCD(24,22)=2  b1​=GCD(24,22)=2
24=23⋅3 22=2⋅11 LCM(24,22)=23⋅3⋅11=264  b2​=LCM(24,22)=264
45=32⋅5 60=22⋅3⋅5 GCD(45,60)=3⋅5=15  c1​=GCD(45,60)=15
45=32⋅5 60=22⋅3⋅5 LCM(45,60)=22⋅32⋅5=180  c2​=LCM(45,60)=180
36=22⋅32 30=2⋅3⋅5 GCD(36,30)=2⋅3=6  d1​=GCD(36,30)=6
36=22⋅32 30=2⋅3⋅5 LCM(36,30)=22⋅32⋅5=180  d2​=LCM(36,30)=180

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