Question

What is diffrence between euclid's division lemma and euclid's division algorithm ??????

Answer 1

Lemma is a proven statement used for proving another statement while algorithm is a series of well defined steps which gives a procedure for solving a type of a problem. Euclid's division lemma: For given any positive integers a and b there exist unique integers q and r satisfying a = bq + r, 0 ⤠r < b. Euclid's division algorithm is used for finding the Highest Common Factor of two numbers where in we apply the statement of Euclid's division lemma

Answer 2

Answer:

ᴍɪss ᴍᴀsᴛᴇʀᴍɪɴᴅ~❤️

ɪɴ ɴᴜᴍʙᴇʀ ᴛʜᴇᴏʀʏ, ᴇᴜᴄʟɪᴅ's ʟᴇᴍᴍᴀ ɪs ᴀ ʟᴇᴍᴍᴀ ᴛʜᴀᴛ ᴄᴀᴘᴛᴜʀᴇs ᴀ ғᴜɴᴅᴀᴍᴇɴᴛᴀʟ ᴘʀᴏᴘᴇʀᴛʏ ᴏғ ᴘʀɪᴍᴇ ɴᴜᴍʙᴇʀs, ɴᴀᴍᴇʟʏ: ᴇᴜᴄʟɪᴅ's ʟᴇᴍᴍᴀ — ɪғ ᴀ ᴘʀɪᴍᴇ ᴘ ᴅɪᴠɪᴅᴇs ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛ ᴀʙ ᴏғ ᴛᴡᴏ ɪɴᴛᴇɢᴇʀs ᴀ ᴀɴᴅ ʙ, ᴛʜᴇɴ ᴘ ᴍᴜsᴛ ᴅɪᴠɪᴅᴇ ᴀᴛ ʟᴇᴀsᴛ ᴏɴᴇ ᴏғ ᴛʜᴏsᴇ ɪɴᴛᴇɢᴇʀs ᴀ ᴀɴᴅ ʙ.