Question

The product of two numbers is 1600 and their
L.C.F is 320. The G.C.M of the number is
(a) 4
(b) 5
(c) 6
(d) None​

Answer 1

Correction: Your Question needs a correction.

Original Content : The product of two numbers is 1600 and their H.C.F is 320. The L .C.M of the number is ?

Solution:

We have,

• Product of two numbers = 1600
• LCM of two numbers = 320

Assumption: Let two numbers be a and b.

Since We know that relationship between product of numbers and LCM & HCF of Numbers.

• ∵ LCM × HCF = a × b , Where a and b are Numbers.

⇒ LCM × HCF ⇒ = a × b

⇒ HCF × 320 = 1600

⇒ HCF = 1600/320

⇒ HCF = 5

Therefore, Required HCF is 5.

Answer 2

Answer:

(b). HCF = 5

Step-by-step explanation:

Given,

Product of two numbers = 1600

LCM of two numbers = 320

Let us assume that the two numbers be a and b.

By using the formula called relationship between product of numbers and LCM and HCF of numbers.

[ LCM × HCF = a × b ]

where, a and b are numbers.

For finding the formula of HCF.

=> LCM × HCF = a × b

=> HCF = a × b / LCM

.°. HCF = a × b / LCM

Now, putting the given values.

=> HCF = a × b / LCM

=> HCF = 1600 / 320

=> HCF = 5

.°. HCF = 5 ANSWER