My Learning Cart
?
Categories
Account

What is the HCF of 36, 60, and 48?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: What is the HCF of 36, 60, and 48?

Options:

  1. 6
  2. 12
  3. 18
  4. 24

Correct Answer: 12

Solution: 

The prime factorization gives: 36 = 2^2 * 3^2, 60 = 2^2 * 3 * 5, 48 = 2^4 * 3. The HCF is 2^2 * 3 = 12.

What is the HCF of 36, 60, and 48?

Practice Questions

Q1
What is the HCF of 36, 60, and 48?
  1. 6
  2. 12
  3. 18
  4. 24

Questions & Step-by-Step Solutions

What is the HCF of 36, 60, and 48?
  • Step 1: Find the prime factorization of each number.
  • Step 2: For 36, divide by 2: 36 ÷ 2 = 18, then 18 ÷ 2 = 9, then 9 ÷ 3 = 3, and finally 3 ÷ 3 = 1. So, 36 = 2^2 * 3^2.
  • Step 3: For 60, divide by 2: 60 ÷ 2 = 30, then 30 ÷ 2 = 15, then 15 ÷ 3 = 5, and finally 5 ÷ 5 = 1. So, 60 = 2^2 * 3^1 * 5^1.
  • Step 4: For 48, divide by 2: 48 ÷ 2 = 24, then 24 ÷ 2 = 12, then 12 ÷ 2 = 6, then 6 ÷ 2 = 3, and finally 3 ÷ 3 = 1. So, 48 = 2^4 * 3^1.
  • Step 5: Write down the prime factorizations: 36 = 2^2 * 3^2, 60 = 2^2 * 3^1 * 5^1, 48 = 2^4 * 3^1.
  • Step 6: Identify the common prime factors and their lowest powers: For 2, the lowest power is 2^2; for 3, the lowest power is 3^1.
  • Step 7: Multiply the common prime factors: HCF = 2^2 * 3^1 = 4 * 3 = 12.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks