Question

In finding
the HCF of 2 numbers by division
method the last divisor is 17 and quotients
are 1, 11, 12 respectively. Then sum of those two numbers?​

Answer 1

Step-by-step explanation:

Here, the last divisor = 49 and quotient = 2

or, Symbolically the process of finding the HCF by division method can be shown in this way.

the dividend (c) = 49 × 2 = 98

Now, divisor = 98,

quotient = 3 and remainder = 49

∴ Dividend (a) = 98 × 3 + 49 = 294 + 49 = 343

Again, divisor = 343, quotient = 17 and remainder = 98

∴ Dividend (b) = 343 × 17 + 98 = 5831+ 98 = 5929

Thus, two numbers are 343 and 5929