My Learning Cart
?
Categories
Account

Find the H.C.F. of 48, 72, and 120.

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

What’s inside this PDF?

Question: Find the H.C.F. of 48, 72, and 120.

Options:

  1. 12
  2. 24
  3. 36
  4. 48

Correct Answer: 24

Solution: 

The H.C.F. of 48, 72, and 120 is 24.

Find the H.C.F. of 48, 72, and 120.

Practice Questions

Q1
Find the H.C.F. of 48, 72, and 120.
  1. 12
  2. 24
  3. 36
  4. 48

Questions & Step-by-Step Solutions

Find the H.C.F. of 48, 72, and 120.
  • Step 1: List the prime factors of each number.
  • Step 2: For 48, the prime factors are 2 x 2 x 2 x 2 x 3 (or 2^4 x 3^1).
  • Step 3: For 72, the prime factors are 2 x 2 x 2 x 3 x 3 (or 2^3 x 3^2).
  • Step 4: For 120, the prime factors are 2 x 2 x 2 x 3 x 5 (or 2^3 x 3^1 x 5^1).
  • Step 5: Identify the common prime factors from all three numbers.
  • Step 6: The common prime factors are 2 and 3.
  • Step 7: Take the lowest power of each common prime factor.
  • Step 8: For 2, the lowest power is 2^3 (from 72 and 120).
  • Step 9: For 3, the lowest power is 3^1 (from 48 and 120).
  • Step 10: Multiply these together: 2^3 x 3^1 = 8 x 3 = 24.
  • Step 11: Therefore, the H.C.F. of 48, 72, and 120 is 24.
  • Highest Common Factor (H.C.F.) – The H.C.F. is the largest number that divides all the given numbers without leaving a remainder.
  • Prime Factorization – Finding the H.C.F. often involves breaking down each number into its prime factors.
  • Common Factors – Identifying the common factors of the numbers is essential to determine the H.C.F.
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