Question

in finding hcf of two numbers by division method the quotients are 2,2,3 respectively and the last divisior is 18. find the greater number​

Answer 1

Answer:

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.

Second method to solve this question :

a b c 49

Remainders →  17 3 2

Let two numbers are a and b.

c = 2 × 49 = 98

b = 3c + 49 = 3 × 98 + 49 = 343

a = 17b + c = 17 × 343 + 98 = 5929