The answer is 36.
The GCF of 144 and 252 is 36
The HCF is 18
The HCF of 48 and 72 is 24. The LCM is 144.
Well, let's paint a happy little picture with numbers! The LCM (Least Common Multiple) of 72 and 252 is 504, and the HCF (Highest Common Factor) is 36. These numbers are like colors on our palette, each serving a unique purpose in our mathematical landscape. Just remember, there are no mistakes in math, only happy little miscalculations waiting to be corrected.
144
84
Write down all the factors of 108 and 252. Hence 2)108 2)54 3)27 3)9 3)3 = & 2)252 2)126 2)63 3)21 3)7 7)7 = 1 '2' appears in both division sets twice; 2 x 2 = 4 '3' appears in both division sets twice also 3 x 3 = 9 Hence 3 x 9 = 36 Hence '36' is the HCF. NB The '7' and the remaining '3' are NOT common to both sets, so they cannot be part of the HCF.
HCF is 48 and LCM is 576
12
144
24