Find the least number when successively divided by 2,3, and 7 it leaves reminder 1,2, and 3 respectively.

Question

Find the least number when successively divided by 2,3, and 7 it leaves reminder 1,2, and 3 respectively.
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

To solve this problem, we will use the Chinese Remainder Theorem. Here are the steps:

  1. First, we need to find a number that when divided by 2, 3, and 7 leaves remainders 1, 2, and 3 respectively. This means we are looking for a number of the form 2a+1, 3b+2, and 7c+3.

  2. We start by finding a co 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

Find the least number when successively divided by 2,3, and 7 it leaves reminder 1,2, and 3 respectively.

Find the least number when successively divided by 2,3, and 7 it leaves reminder 1,2, and 3 respectively.Options6367656175

Find the least number when successively divided by 2,3, and 7 it leaves reminder 1,2, and 3 respectively.Options6561756367

Select the correct answerFind the least number when successively divided by 2,3, and 7 it leaves reminder 1,2, and 3 respectively.Options6167756563

15.A certain number when successively divided by 3 and 5 leaves reminder 1 and 2. what is the reminder, if the same number be divided by 15?

1/3