GCD of 576, 804, 400, 158 Calculator

Given Input numbers are 576, 804, 400, 158

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 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

GCD of numbers is the greatest common divisor

So, the GCD (576, 804, 400, 158) = 2.

Given numbers are 576, 804, 400, 158

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 804 are 2 x 2 x 3 x 67

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 158 are 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 576, 804, 400, 158 is 2.

Given numbers are 576, 804, 400, 158

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

Apply this formula for all numbers.

Step1:

LCM(576, 804) = 38592

GCD(576, 804) = ( 576 x 804 ) / 38592

= 576 / 804

= 576

Step2:

LCM(12, 400) = 1200

GCD(12, 400) = ( 12 x 400 ) / 1200

= 12 / 400

= 12

Step3:

LCM(4, 158) = 316

GCD(4, 158) = ( 4 x 158 ) / 316

= 4 / 158

= 4

So, Greatest Common Divisor of 576, 804, 400, 158 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 140, 250, 755
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• GCD of 352, 680, 914, 448
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Given numbers are 576, 804, 400, 158
The greatest common divisor of numbers 576, 804, 400, 158 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 804, 400, 158 is 2.

1. What is the GCD of 576, 804, 400, 158?

GCD of given numbers 576, 804, 400, 158 is 2

2. How to calculate the greatest common divisor of 576, 804, 400, 158?

We can find the highest common divisor of 576, 804, 400, 158 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, 804, 400, 158 i.e 2.

3. How can I use the GCD of 576, 804, 400, 158Calculator?

Out the numbers 576, 804, 400, 158 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.