Question

Find the HCF of 9 96 and 404 by the prime factorization method hence find their LCM

Answer 1

996=2×2×3×83

404=2×2×101

Common factors =2×2 =4

So, HCF is 4.

Hope it is helpful.

Answer 2

ʜᴄғ ᴏғ 96 ᴀɴᴅ 404 ʙʏ ᴘʀɪᴍᴇ ғᴀᴄᴛᴏʀɪsᴀᴛɪᴏɴ ᴍᴇᴛʜᴏᴅ:-

sɪɴᴄᴇ, 96 = 2 × 2 × 2 × 2 × 2 × 3

ᴀɴᴅ, 404 = 2 × 2 × 101

sᴏ, ʜᴄғ ᴏғ 96 ᴀɴᴅ 404 = ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴄᴏᴍᴍᴏɴ ᴘʀɪᴍᴇ ғᴀᴄᴛᴏʀs

                                  = 2 × 2 = 4

ʟᴄᴍ = 2 × 2 × 2 × 2 × 2 × 101 × 3

        = 9696