GCD of 576, 892, 72, 146 Calculator

Given Input numbers are 576, 892, 72, 146

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

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 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (576, 892, 72, 146) = 2.

Given numbers are 576, 892, 72, 146

The list of prime factors of all numbers are

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

Prime factors of 892 are 2 x 2 x 223

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 576, 892, 72, 146 is 2.

Given numbers are 576, 892, 72, 146

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

Apply this formula for all numbers.

Step1:

LCM(576, 892) = 128448

GCD(576, 892) = ( 576 x 892 ) / 128448

= 576 / 892

= 576

Step2:

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

= 4 / 72

= 4

Step3:

LCM(4, 146) = 292

GCD(4, 146) = ( 4 x 146 ) / 292

= 4 / 146

= 4

So, Greatest Common Divisor of 576, 892, 72, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 502, 83, 543
• GCD of 612, 429, 52, 778
• GCD of 142, 850, 31, 907
• GCD of 192, 657, 67, 129
• GCD of 531, 102, 99, 786

Given numbers are 576, 892, 72, 146
The greatest common divisor of numbers 576, 892, 72, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 892, 72, 146 is 2.

1. What is the GCD of 576, 892, 72, 146?

GCD of given numbers 576, 892, 72, 146 is 2

2. How to calculate the greatest common divisor of 576, 892, 72, 146?

We can find the highest common divisor of 576, 892, 72, 146 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 576, 892, 72, 146 i.e 2.

3. How can I use the GCD of 576, 892, 72, 146Calculator?

Out the numbers 576, 892, 72, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.