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The HCF and the LCM of two numbers are 4 and 2600, respectively. If one of the numbers is 104, find the other one.
Question

The HCF and the LCM of two numbers are 4 and 2600, respectively. If one of the numbers is 104, find the other one.

A.

200

B.

250

C.

100

D.

50

Correct option is C

Given:HCF of the two numbers=4LCM of the two numbers=2600One number=104Formula Used:Product of two numbers=HCF×LCMSolution:Let the other number be xAccording to the formula:104×x=4×2600104×x=10400x=10400104x=100The other number is 100\textbf{Given:} \\\text{HCF of the two numbers} = 4 \\\text{LCM of the two numbers} = 2600 \\\text{One number} = 104\\\textbf{Formula Used:} \\\text{Product of two numbers} = \text{HCF} \times \text{LCM}\\\textbf{Solution:} \\\text{Let the other number be } x\\\text{According to the formula:} \\104 \times x = 4 \times 2600 \\104 \times x = 10400\\x = \dfrac{10400}{104} \\x = 100\\\textbf{The other number is } 100​​

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