This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Fresh day charlesalfandika3, let's solve. Step 1: Find the prime factorization of each number. For 300: 300 = 2 × 150 150 = 2 × 75 75 = 3 × 25 25 = 5 × 5 So, 300 = 2^2 × 3 × 5^2. For 450: 450 = 2 × 225 225 = 3 × 75 75 = 3 × 25 25 = 5 × 5 So, 450 = 2 × 3^2 × 5^2. For 780: 780 = 2 × 390 390 = 2 × 195 195 = 3 × 65 65 = 5 × 13 So, 780 = 2^2 × 3 × 5 × 13. Step 2: Identify the common prime factors and their lowest powers. The common prime factors are 2, 3, and 5. The lowest power of 2 that appears in all factorizations is 2^1. The lowest power of 3 that appears in all factorizations is 3^1. The lowest power of 5 that appears in all factorizations is 5^1. Step 3: Multiply the common prime factors raised to their lowest powers. HCF = 2^1 × 3^1 × 5^1 = 2 × 3 × 5 = 30. The HCF of 300, 450, and 780 is 30. Send me the next one 📸