Fresh day charlesalfandika3, let's solve. Step 1: Find the prime factorization of each number. For 300: $300 = 2 \times 150$ $150 = 2 \times 75$ $75 = 3 \times 25$ $25 = 5 \times 5$ So, $300 = 2^2 \times 3 \times 5^2$. For 450: $450 = 2 \times 225$ $225 = 3 \times 75$ $75 = 3 \times 25$ $25 = 5 \times 5$ So, $450 = 2 \times 3^2 \times 5^2$. For 780: $780 = 2 \times 390$ $390 = 2 \times 195$ $195 = 3 \times 65$ $65 = 5 \times 13$ So, $780 = 2^2 \times 3 \times 5 \times 13$. 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 = $2^1 \times 3^1 \times 5^1 = 2 \times 3 \times 5 = 30$. The HCF of 300, 450, and 780 is 30. Send me the next one 📸