Problem: If the Highest Common Divisor of 643264326432 and 132132132 is diminished by 888, it will equal:
Answer Choices:
A. −6-6−6
B. 666
C. −2-2−2
D. 333
E. 444 Solution:
132=22⋅3⋅11132=2^{2} \cdot 3 \cdot 11132=22⋅3⋅11 and 6432=25⋅3⋅676432=2^{5} \cdot 3 \cdot 676432=25⋅3⋅67. Their H.C.D. =22⋅3=12=2^{2} \cdot 3=12=22⋅3=12 and 12−8=412-8=412−8=4.