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Question

Using prime factorization , find the HCF and LCM of $$1152, 1664$$
 in each case , verify that $$ HCF \times LCM $$ = product of given numbers.


Solution

$$ 1152 = 2^7 \times 3^2 $$
$$ 1664 = 2^7 \times  13 $$
LCM (1152, 1664)= $$ 2^7 \times 3^2 \times 13 = 14976 $$
HCF(1152, 1664) = $$ 2^7 = 128 $$
Verification : 
$$ HCF \times LCM = 14976 \times 128 = 1916928 $$
product of given numbers = $$ 1152 \times 1664 = 1916928 $$
$$ \Rightarrow HCF \times LCM $$= product of given numbers

Mathematics
RS Agarwal
Standard X

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