Question

using ecuild division algorithm find the HCFof 612and1314​

Answer 1

Answer:

HCF of 162 and 1314 by Listing the Common Factors  

Factors of 162: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Factors of 1314: 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314

Common Factors of 162 and 1314: 1, 2, 3, and 6

The highest common factor 162 and 1314 from the list is 6

HCF of 162 and 1314 is 18

HCF of 162 and 1314 by Long Division Method

Step 1: Divide 1314 by 162 and check the remainder. Here, the remainder is 18

Step 2: Make the remainder 18 as the divisor and the divisor 162 as the dividend and perform the long division again.

Step 3: Continue till you get the remainder as 0 and the last divisor is the highest common factor of 162 and 1314

HCF of 162 and 1314 by Long Division Method

You can find the HCF in any of the above methods but the solution will always remain the same.

Therefore, HCF of 162 and 1314 is 18

Step-by-step explanation: