Question

The product of 2 numbers 1-655
LCM is 131 What is the HCE 2​

Answer 1

Answer:

Step-by-step explanation:

The HCF and LCM of two numbers is 131 and 8253, respectively. If one number is 917, can you find the other?

Let us see an example.

Consider two numbers 27 and 36. Let us factorize them,

27 = 3 x3 x3

36 = 2 x2 x3 x3

HCF of 27 and 36 = 9, and LCM = 2x2x3x3x3 = 108.

Multiply LCM and HCF: 9x108 = 972.

Next multiply the two numbers: 27x36 = 972.

So the product of the two numbers is the same as the product of their HCF and LCM.

Following the same principle in the current problem: HCF x LCM = 131x8253 = 1081143

So if one number is 917, the other number is 1081143/917 = 1179.

Check: 917 = 7x131

1179 = 131x9.

HCF = 131, and LCM = 7x9x131 = 8253. Correct.

Answer 2

Correct Question :-

• The product of two numbers 655 LCM is 131 What is the HCF.

Given :-

• The product of two numbers is 655.
• LCM is 131.

To Find :-

• It's HCF.

Solution :-

As we know that,

${ \boxed{ \rm{ \red{HCF × LCM = The \: product \: of \: two \: numbers. }}}}</p><p>$

[ Putting values ]

➡ HCF × 131 = 655

➡ HCF = 655/131

➡ HCF = 5

Hence,

$\huge{ \boxed{ \blue{ \rm{HCF = 5.}}}}$

Verification :-

${ \boxed{ \rm{ \orange{HCF × LCM = The \: product \: of \: two \: numbers. }}}}</p><p>$

[ Putting values ]

➡ 5 × 131 = 655

➡ 655 = 655

Hence verified !!