Find the HCF and LCM of (a) 145,232 (b) 693,1078

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Solution

(A)145 = 5 x29
232 = 2x2x2 x29
LCM of 145 and 232=2×2×2×5×29=1160
HCF of 145 and 232=29

(B)Prime factors of 693=3²×7×1

Prime factors of 1078=2×7²×1

LCM=7×7×11×3×3×2=9702
HCF=7×11=77

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