allery96 ଏବଂ 404 ର HCF କେତେ?
A2
B8
C4
D12
Answer & Solution
Correct answer: C. 4
1. ଉଭୟ ସଂଖ୍ୟାକୁ ମୌଳିକ ଗୁଣନୀୟକରେ ବିଶ୍ଳେଷଣ କରନ୍ତୁ।
2. 96 = 2^5 x 3।
3. 404 = 2^2 x 101।
4. କେବଳ 2 ଗୁଡ଼ିକ ସାଧାରଣ ମୌଳିକ ଅଟନ୍ତି, ଏବଂ କମ୍ ଘାତଟି ହେଉଛି 2^2।
5. ତେଣୁ HCF ହେଉଛି 4। ଏହା 8 କିମ୍ବା 12 ହୋଇପାରିବ ନାହିଁ, କାରଣ 404 ଏଥିରୁ କୌଣସିଟି ଦ୍ୱାରା ବିଭାଜ୍ୟ ନୁହେଁ।
_Source: syllabus Maths, Ch 1 'Real Numbers', S1.2 The Fundamental Theorem of Arithmetic_
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