Question

The GCF of two number is 3 and the LCM is 180 if one of the number is 180 then find the other number

Answer 1

Answer:

The required other number is 3.

Step-by-step explanation:

Given :

• The GCF of two numbers = 3

• The LCM of the two numbers = 180

• One of the numbers = 180

To find :

the other number

Solution :

Let the other number be 'a'

GCF × LCM = The product of two numbers

3 × 180 = 180 × a

a = (3 × 180)/180

 a = 3

∴ The other number is 3

___________________________

Know more :

$\underline{\underline{\bf HCF \ (Highest \ Common \ Factor):}}$

• The HCF is the greatest factor present in between given two or more numbers i.e., the greatest number which can divide the given numbers.

• HCF is also known as Greatest Common Divisor (GCD)

$\underline{\underline{\bf LCM \ (Least \ Common \ Multiple):}}$

• The LCM is the smallest number that is a multiple of two or more numbers.

____________________________

Answer 2

• $\huge\underline\mathrm{Given:}$
• GCF of two numbers = 3
• LCM of two numbers = 180
• one number = 180.
• other number = ?

━━━━━━━━━━━━━

$\huge\mathfrak{\color{red}{\underline{\underline{Answer♡}}}}$

We know that :

[tex] GCF×LCM = PRODUCT of two numbers. [/tex]

Then,

3×180 = 180× other number

$other \: number \: = \frac{3 \times 180}{180}$

other number = 3.

$\red{\boxed{\bold{\large{other number=3}}}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━