GCD of 576, 386, 370, 252 Calculator

Given Input numbers are 576, 386, 370, 252

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 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (576, 386, 370, 252) = 2.

Given numbers are 576, 386, 370, 252

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 386 are 2 x 193

Prime factors of 370 are 2 x 5 x 37

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 576, 386, 370, 252 is 2.

Given numbers are 576, 386, 370, 252

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

Apply this formula for all numbers.

Step1:

LCM(576, 386) = 111168

GCD(576, 386) = ( 576 x 386 ) / 111168

= 576 / 386

= 576

Step2:

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

= 2 / 370

= 2

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 576, 386, 370, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 700, 947, 874
• GCD of 702, 386, 460, 630
• GCD of 360, 847, 977, 288
• GCD of 988, 600, 963, 481
• GCD of 105, 793, 291, 600

Given numbers are 576, 386, 370, 252
The greatest common divisor of numbers 576, 386, 370, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 386, 370, 252 is 2.

1. What is the GCD of 576, 386, 370, 252?

GCD of given numbers 576, 386, 370, 252 is 2

2. How to calculate the greatest common divisor of 576, 386, 370, 252?

We can find the highest common divisor of 576, 386, 370, 252 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, 386, 370, 252 i.e 2.

3. How can I use the GCD of 576, 386, 370, 252Calculator?

Out the numbers 576, 386, 370, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.