Pegs

From two sticks 240 cm and 210 cm long, it is necessary to cut the longest possible pegs for flowers so that no residues remain. How many pegs will it be?

Correct result:

n =  15

Solution:

a=240 cm b=210 cm  240=2435 210=2357 GCD(240,210)=235=30  x=GCD(a,b)=GCD(240,210)=30 cm  n=a/x+b/x=240/30+210/30=15



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