4)Find HCF and LCM of 90,144 by euclids division lemma and prime factorization method?
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Step-by-step explanation:
HCF and LCM of 90,144 by euclids division lemma and prime factorization method
144=90×1+54
90=54×1+36
54=36×1+28
36=28×1+8
28=8×3+4
8=4×2+0
SO HCF =4
LCM =144×90÷4=36×90=3240
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90 = 3 x 3 x 2 x 5.
144 = 2 x 2 x 2 x 2 x 3 x 3
H.C.F( 90, 144) = 2 x 3 x 3 = 18.
L.C.M( 90, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 5 = 720.
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