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Hcf of two positive integer and find the hcf of 32 and 54 |
| Answer» HCF of two or more positive integers is the largest positive integer that divides all the numbers exactly.The given numbers are 32 and 54By applying division lemma 54 = 32 {tex}\\times{/tex}\xa01 + 22Since remainder {tex}\\neq{/tex}\xa00, apply division lemma on 32 and remainder 2232 = 22 {tex}\\times{/tex}\xa01 + 10Since remainder ≠ 0, apply division lemma on 22 and remainder 1022 = 10 {tex}\\times{/tex}\xa02 + 2Since remainder ≠ 0, apply division lemma on 10 and 210 = 2 {tex}\\times{/tex}\xa05 + 0Therefore, H.C.F. of 32 and 54 is 2. | |