Question

Find the greatest number that exactly divides 306 , 450 , 540 .

Answer 1

Answer:

12  is the greatest number that exactly divides 306 , 450 , 540 .

Step-by-step explanation:

306 =3x3x2x17

450 =2x3x3x5x5

540 =2x2x3x3x3x5

hcf  = 2x3x3  =12

12  is the greatest number that exactly divides 306 , 450 , 540 .

Answer 2

The greatest number that exactly divides 306 , 450 , 540 is 18

Solution:

Given that,

We have to find the greatest number that exactly divides 306 , 450 , 540

Which means, we have to find the greatest common factor of 306 , 450 , 540

FIND GCF OF 306 , 450 , 540

The factors of 306 are: 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

The factors of 450 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

The factors of 540 are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Then the greatest common factor is 18

Thus the greatest number that exactly divides 306 , 450 , 540 is 18

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