Answer:
4
Step-by-step explanation:
gcf(432,320,228)=gcf(gcf(432,320),228)
432=320(1)+112
320=112(2)+96
112=96(1)+16
96=16(6)
So the gcf(432,320)=16.
So now we need to find gcf(16,228)
228=16(14)+4
16=4(4)
Therefore,
gcf(432,320, 228)
=gcf(gcf(432,320),228)
=gcf(16, 228)=4
===================================
432=4(108)=4(2)(54)
=4(2)(6)(9)=2(2)(2)(2)(3)(3)(3)
320=4(80)=4(2)(40)=2(2)(2)(4)(10)
=2(2)(2)(2)(2)(2)(5)
228=4(57)=2(3)(38)=2(2)(3)(19)
All three of them have 2*2 in commom, so the greatest common factor is 4.
