Question

. Highest common factor and lowest common multiple of two numbers are 18 and 1782 respectively. One number is 162, find the other.

Answer 1

Answer:

198

Step-by-step explanation:

198

198

198

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Answer 2

Answer:

Required another number is 198.

Step-by-step explanation:

Here given,Highest Common Factor and Lowest Common Multiple of two numbers are 18 and 1782 respectively and one number is 162.

Highest Common Factor means HCF and Lowest Common Multiple means LCM.

We know,

$HCF \times LCM = Product \: of \: two \: numbers....(1)$

For example,LCM and HCF of two numbers are 6 and 1 and one number is 2.Then what is the value of other number?

Let the another number be x.

From (1),

$6 \times 1 = 2 \times x \\ 2x = 6 \\ x = \frac{6}{2} \\ x = 3$

So other number is 3.

Here given HCF = 18,LCM=1782 and one number = 162

Let the another number be y.

$18 \times 1782 = y \times 162 \\ y = \frac{18 \times 1782}{162} \\ y = 198$

Required another number is 198.