What is the largest number tha divides 84,144 or 36 without any remainder?
Created: 2 years ago |
Updated: 7 months ago
best des
To find the largest number that divides 84, 144, and 36 without any remainder, you can calculate the greatest common divisor (GCD) of these numbers.
First, find the prime factorization of each number:
- 84 = 2^2 * 3 * 7
- 144 = 2^4 * 3^2
- 36 = 2^2 * 3^2
Identify the common prime factors among these numbers and take the lowest exponent for each prime factor:
- Common prime factors: 2^2 and 3^1
Multiply these common prime factors together: GCD = 2^2 * 3^1 = 4 * 3 = 12
So, the largest number that divides 84, 144, and 36 without any remainder is 12.
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