Question

The product of two numbers is 900 and their lcm is 300 . Find their HCF

Answer 1

Your Answer:-

Given:-

• LCM = 300
• Product of two numbers = 900

To find:-

• HCF

Solution:-

We know that

$\tt LCM \times HCF = a \times b \\\\ Where, \ \ 'a' \ \ and \ \ 'b' \ \ are \ \ the \ \ numbers \\\\ \tt \Rightarrow 300 \times HCF = 900 \\\\ \tt \Rightarrow HCF = \dfrac{900}{300} \\\\ \tt \Rightarrow HCF = 3$

So, The HCF is 3

Similar Question:

The HCF of two numbers is 15 and their LCM is 300. If one of the number is 60, the other is?

Solution:-

$\tt LCM \times HCF = a \times b \\\\ Where, \ \ 'a' \ \ and \ \ 'b' \ \ are \ \ the \ \ numbers \\\\ \tt \Rightarrow 15 \times 300 = 60 \times b \\\\ \tt \Rightarrow b = \dfrac{15 \times 300}{60} \\\\ \tt \Rightarrow HCF = 75$

So, the other number is 75

Answer 2

$\mathbb{\huge{\underline{\underline{\red{QUESTION\:?}}}}}$

✴ ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴛᴡᴏ ɴᴜᴍʙᴇʀs ɪs 900 ᴀɴᴅ ᴛʜᴇɪʀ ʟᴄᴍ ɪs 300 . ғɪɴᴅ ᴛʜᴇɪʀ ʜᴄғ.

$\mathcal{\huge{\underline{\underline{\green{AnSwEr:-}}}}}$

✏ H.C.F. of the following is 3.

$\mathcal{\huge{\fbox{\purple{Solution:-}}}}$

ɢıvεŋ :-

• The product of two numbers is 900.

• Their lcm is 300.

ᴛᴏ ғɪɴᴅ :-

• H.C.F. of the following.

ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴ :-

We know that,

The product of the number is equals to the product of its H.C.F. & L.C.M.

(a×b) = (L.C.M × H.C.F)............(1)

Where ,

• (a×b) = 900

• L.C.M = 300

Putting in equation 1 ;

(a×b) = (L.C.M × H.C.F)

➡ 900 = 300 × H.C.F

➡ H.C.F = $\dfrac{900}{300}$

➡ H.C.F = $\cancel{\dfrac{900}{300}}$

➡ H.C.F = 3

So, The highest common factor of the given number is 3.

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