Find Hcf and lcm by using the property

27, 90

145, 232

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Solution

27,90
Prime factorising the numbers
27=3×3×3
90=2×3×3×5
So highest common factor HCF=3×3=9
By property
Product of numbers=HCF×LCM
27×90=9×LCM
LCM=27×90/9=270
So HCF=9,LCM=270

145,232
145=5×29
232=2×2×2×29
HCF=29
By property
145×232=29×LCM
LCM=145×232/29=1160
So HCF=29,LCM=1160

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