What is the diffrence b/w euclid's division lemma and euclid's division algorithm
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lemma is proven statement used for proving another statement while algorithm is a series of well defined steps which gives a procedure for solving a problem ...... equclids division algorithm is used for finding the highest common factor of two numbers where in we apply the statement
of equclids division lemma
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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.
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