GCD of 488, 100, 165, 576 Calculator

Given Input numbers are 488, 100, 165, 576

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

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

GCD of numbers is the greatest common divisor

So, the GCD (488, 100, 165, 576) = 1.

Given numbers are 488, 100, 165, 576

The list of prime factors of all numbers are

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

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 165 are 3 x 5 x 11

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

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

Given numbers are 488, 100, 165, 576

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

Apply this formula for all numbers.

Step1:

LCM(488, 100) = 12200

GCD(488, 100) = ( 488 x 100 ) / 12200

= 488 / 100

= 488

Step2:

LCM(4, 165) = 660

GCD(4, 165) = ( 4 x 165 ) / 660

= 4 / 165

= 4

Step3:

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

= 1 / 576

= 1

So, Greatest Common Divisor of 488, 100, 165, 576 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 427, 291, 484
• GCD of 559, 218, 191, 899
• GCD of 712, 564, 729, 187
• GCD of 838, 422, 279, 491
• GCD of 138, 359, 721, 161

Given numbers are 488, 100, 165, 576
The greatest common divisor of numbers 488, 100, 165, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 100, 165, 576 is 1.

1. What is the GCD of 488, 100, 165, 576?

GCD of given numbers 488, 100, 165, 576 is 1

2. How to calculate the greatest common divisor of 488, 100, 165, 576?

We can find the highest common divisor of 488, 100, 165, 576 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, 100, 165, 576 i.e 1.

3. How can I use the GCD of 488, 100, 165, 576Calculator?

Out the numbers 488, 100, 165, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.