SOLUTION: Let r=12*95*1750 and h=38*25^(2)*16^(3). Give all common divisors, gcd, and lcm of a and b

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Question 26701: Let r=12*95*1750 and h=38*25^(2)*16^(3).
Give all common divisors, gcd, and lcm of a and b
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Let r=12*95*1750...WRITE AS PRODUCT OF PRIMES...
R=(2*2*3)*(5*19)*(2*5*5*5*7)=(2^3)(3)(5^4)(7)(19)
and h=38*25^(2)*16^(3).
H=(2*19)((5*5)^2)((2*2*2*2)^3)=(2^13)(5^4)
HENCE GCD =(2^3)(5^4)
LCM=(2^13)(3)(5^4)(7)(19)
COMMON DIVISORS ARE ALL FACTORS OBTAINED FROM
GCD =(2^3)(5^4)...THAT IS (2^0)(5),(2^0)(5^2),(2^0)(5^3),(2^0)(5^4)
(2^1)(5^0),(2^1)(5^1).....ETC........
Give all common divisors, gcd, and lcm of a and b