Question

The GCD of two numbers is 17 and the LCM is 140.If one of the numbers is 20,find the other number

Answer 1

Step-by-step explanation:

First number × second number = GCD × LCM

20 × Second number = 17 × 140

20 × Second number = 2380

Second number = 2380/20

Second number = 119

So, 119 is the other number.

Answer 2

As per the details given in above question.

We have to find the value other number .

Step-by-step explanation:

GCD= Greatest common divisor or factor

The largest factor

LCM = Least common factor or multiple

The smallest factor

Step-1:

Given ,

GCD of two number =17

LCM of two numbers = 140

The one number = 20

Let the other number = x

Step-2:

The formula of GCD and LCM

$GCD×LCM = \\ one \: number × other \: number$

Put the values in above formula ,

$1 7\times 140 = 20 \times \: other \: number$

Multiply the terms ,

$2380= 20× other \: number$

Divide the terms ,

$other \: number = \frac{2380}{20}$

$Other \: number = 119$

Hence ,

The other number is 119 .

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