Find the greatest common divisor of 15 and 35.

Here is a step-by-step explanation of the solution: Step 1: Identify the smaller and larger number In the given problem, we have two numbers: 15 and 35. The smaller number is 15, and the larger number is 35. Step 2: Perform the division and find the remainder Now, we will divide the larger number (35) by the smaller number (15) to find the remainder. Using the division algorithm, we have: $35=15\times 2+5$ Therefore, the remainder is 5. Step 3: Repeat the process using the remainder We will now use the remainder (5) and the smaller number (15) to perform the same process again. We will divide 15 by 5 to find the new remainder. Performing the division, we get: $15=5\times 3+0$ Therefore, the remainder is 0. Step 4: Identify the last non-zero remainder as the GCD Since the last non-zero remainder is 5 (from Step 2), the greatest common divisor (GCD) of 15 and 35 is 5. Hence, the solution is 5 is the GCD of 15 and 35.