: Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers?

Question

: Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers?
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

Step 1: Let's denote the two numbers as 2x and 3x, where x is a common factor.

Step 2: Since the LCM (Least Common Multiple) of two numbers is the product of the numbers divided by their HCF (Highest Common Factor), we can set up the following equation using the given LCM of 180:

2x * 3x / HCF = 1 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers?

: Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers?

The ratio of two numbers is 5 : 2 and their HCF is 7. Their LCM isOptions :50706580

The ratio of two numbers is 5 : 2 and their HCF is 7. Their LCM is Options : 50 70 65 80

The LCM of two numbers x and y is 204times their HCF. If their HCF is 12 and thedifference between the numbers is 60,then x + y =?

1/3