what is gcd of 56,14,7?

Hello Amanita! Let's solve your problem step by step.

Problem Statement

You asked: What is the greatest common divisor (gcd) of 56, 14, and 7?

Step-by-Step Solution Plan

1. Understand the Problem:
   The gcd (greatest common divisor) of a set of numbers is the largest number that divides all of them without leaving a remainder.

2. Break Down the Problem:
   To find the gcd of three numbers$(56, 14, and 7)$, we can:

   • First, find the gcd of any two numbers (let's start with 56 and 14).
   • Then, find the gcd of the result with the third number (7).

3. Use the Tool to Calculate:
   I will use the tool to calculate the gcd of 56 and 14, and then use that result to find the gcd with 7.

Let's start by finding the gcd of 56 and 14. Amanita, let's clarify the steps and the answer for your problem:

Step 1: Understanding the Problem

We are asked to find the greatest common divisor (gcd) of the numbers 56, 14, and 7. The gcd is the largest number that can divide all the given numbers without leaving a remainder.

Step 2: Step-by-Step Calculation

a) List the factors of each number:

• Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
• Factors of 14: 1, 2, 7, 14
• Factors of 7: 1, 7

b) Find the common factors:

The only numbers that appear in all three lists are 1 and 7.

c) The greatest of these common factors is 7.

Final Answer

The greatest common divisor (gcd) of 56, 14, and 7 is:

This means 7 is the largest number that divides 56, 14, and 7 exactly.