Question

find HCF and LCM of 120and 144 by using fundamental theorem of arithmetic

Answer 1

Hi there !

To find HCF of two numbers by using fundamental theorem of arithmetic :-

1) DO the prime factorization of 120 and 144

120 = 2 x 2 x 2 x 3 x 5 = 2³ × 3 × 5
144 = 2 x 2 x 2 x 2 x 3 x 3 = 2⁴ × 3²

2) HCF = Multiply numbers with lower power 
2³ × 3 = 24 

3) HCF = 24

4) lcm = multiply numbers with high power 

= 2⁴  x 3² x 5 = 720
lcm = 720