Question

D. Find HCF and LCM of
1. 16, 28, 36 using division method
​

Answer 1

Answer:

We found the factors and prime factorization of 16 and 28. The biggest common factor number is the GCF number. So the greatest common factor 16 and 28 is 4.

Answer 2

Answer:

4 is the required HCF of 16, 28 and 36 and 1008 is the LCM.

Step-by-step explanation:

Explanation:

Given that, 16, 28 and 36

LCM - In mathematics, the value that is equally divided by the two supplied numbers is known as the LCM of any two. Least Common Multiple is its full name. Another name for it is the Least Common Divisor.

HCF - The greatest number that divides each of the two or more numbers is known as the HCF.

Step 1:

We have 16, 28, and 36.

First, we divide 36 by 16

     16 ) 36 (2

          -32  

              4) 16(4

                 -16

                   xx

⇒ 36 = 16 ×2 + 4

⇒ 16 = 4× 4 + 0

So, the HCF of 36 and 16 is 4.

Now, we divide 28 by 4

     4  ) 28 ( 7

         -28

           xxx

⇒ 28 = 4 × 7 + 0

So, the HCF of  16, 28, 36 = 4.

Step 2:

LCM of 16, 28 and 36

 2|  16, 28, 36      

 2|   8 , 14 , 18

         4, 7, 9        

So, LCM of 16, 28 and 36 = 2 × 2× 4 × 7 × 9 = 1008.

Final answer:

Hence, 4 is the required HCF of 16, 28 and 36 and 1008 is the LCM.

#SPJ2