Question

If HCF of two numbers is 113 and their LCM is 38952.if one number is 904 then another number is​

Answer 1

Answer:

7119

Step-by-step explanation:

the second number is 7119 after solving

Answer 2

★ The another number is 4869.

Step-by-step explanation

Analysis -

⠀⠀⠀In the question, it has been stated that the HCF and LCM of two numbers is 113 ans 38952, respectively, and one of the number is 904. We've been asked to find what the another number is.

Solution -

⠀⠀⠀There are several groups of well-known divisibility tests that xan check whether a number is a factor, without actually performing the division. We compare numbers in terms of their size.

• HCF (Highest Common Factor)
• LCM (Lowest Common Multiple)

Now, let us head into the actual answer!

Given information:

• HCF = 113
• LCM = 38952
• One number = 904
• Another number = ?

Consider the another number be "a".

According to the relation between HCF and LCM of two numbers,

$\twoheadrightarrow \quad\begin{gathered} \small\boxed{\begin{array}{c} \sf {Product \: of}& \sf{two \: numbers}\end{array}}\end{gathered} = \begin{gathered} \small\boxed{\begin{array}{c} \sf {Product \: of}& \sf{their \: HCF \: and \: LCM}\end{array}}\end{gathered}$

$\twoheadrightarrow{ \sf{ \quad 904 \times a = 113 \times 38952}}$

$\twoheadrightarrow{ \sf{ \quad 904 \times a = 4401576}}$

$\twoheadrightarrow{ \sf{ \quad a = \dfrac{ \cancel{4401576}}{ \cancel{904}} }}$

$\twoheadrightarrow{ \quad\underline{\boxed{ \frak \red{ \pmb{a = 4869}}}}}$

• Therefore, the second number is 4869.

Additional information:-

For fractions,

$\bigstar \quad \sf{HCF = \dfrac{HCF \: of \: numerators}{LCM \: of \: denominators}} \\ \\ \bigstar \quad\sf{LCM = \frac{LCM \: of \: numerators}{HCF \: of \: denominators} }$