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Question

Using prime factorization, find the HCF and LCM of:
21,28,36,45

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Solution

21=3×7=20×3×50×7
28=22×7=22×30×50×7
36=22×32=22×32×50×70
45=32×5=20×32×5×70
From the above
HCF=20×30×50×70=1
LCM=22×32×5×7=1260

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