GCD of 488, 576, 378, 825 Calculator

Given Input numbers are 488, 576, 378, 825

In the factoring method, we have to find the divisors of all numbers

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (488, 576, 378, 825) = 1.

Given numbers are 488, 576, 378, 825

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 825 are 3 x 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 488, 576, 378, 825

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(488, 576) = 35136

GCD(488, 576) = ( 488 x 576 ) / 35136

= 488 / 576

= 488

Step2:

LCM(8, 378) = 1512

GCD(8, 378) = ( 8 x 378 ) / 1512

= 8 / 378

= 8

Step3:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

So, Greatest Common Divisor of 488, 576, 378, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 148, 206, 162
• GCD of 661, 200, 514, 123
• GCD of 602, 677, 744, 533
• GCD of 477, 262, 329, 835
• GCD of 998, 616, 639, 211

Given numbers are 488, 576, 378, 825
The greatest common divisor of numbers 488, 576, 378, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 576, 378, 825 is 1.

1. What is the GCD of 488, 576, 378, 825?

GCD of given numbers 488, 576, 378, 825 is 1

2. How to calculate the greatest common divisor of 488, 576, 378, 825?

We can find the highest common divisor of 488, 576, 378, 825 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 488, 576, 378, 825 i.e 1.

3. How can I use the GCD of 488, 576, 378, 825Calculator?

Out the numbers 488, 576, 378, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.