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
Let's find the Highest Common Factor (HCF) of 325, 350, and 375. Step 1: Find the prime factorization of 325. 325 = 5 × 65 325 = 5 × 5 × 13 325 = 5² × 13 Step 2: Find the prime factorization of 350. 350 = 10 × 35 350 = (2 × 5) × (5 × 7) 350 = 2 × 5² × 7 Step 3: Find the prime factorization of 375. 375 = 5 × 75 375 = 5 × (3 × 25) 375 = 5 × 3 × 5 × 5 375 = 3 × 5³ Step 4: Identify the common prime factors. The common prime factor among 325, 350, and 375 is 5. Step 5: Find the lowest power of the common prime factor. The powers of 5 in the factorizations are 5², 5², and 5³. The lowest power is 5². Step 6: Calculate the HCF. HCF = 5² = 25. The HCF of 325, 350, and 375 is 25. That's 2 down. 3 left today — send the next one.