GCD of 184, 900, 764, 456 Calculator

Given Input numbers are 184, 900, 764, 456

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

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (184, 900, 764, 456) = 4.

Given numbers are 184, 900, 764, 456

The list of prime factors of all numbers are

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 764 are 2 x 2 x 191

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2²

Therefore, GCD of 184, 900, 764, 456 is 4.

Given numbers are 184, 900, 764, 456

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

Apply this formula for all numbers.

Step1:

LCM(184, 900) = 41400

GCD(184, 900) = ( 184 x 900 ) / 41400

= 184 / 900

= 184

Step2:

LCM(4, 764) = 764

GCD(4, 764) = ( 4 x 764 ) / 764

= 4 / 764

= 4

Step3:

LCM(4, 456) = 456

GCD(4, 456) = ( 4 x 456 ) / 456

= 4 / 456

= 4

So, Greatest Common Divisor of 184, 900, 764, 456 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 226, 211, 614
• GCD of 838, 659, 325, 927
• GCD of 451, 505, 409, 376
• GCD of 825, 738, 247, 969
• GCD of 108, 425, 184, 813

Given numbers are 184, 900, 764, 456
The greatest common divisor of numbers 184, 900, 764, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 184, 900, 764, 456 is 4.

1. What is the GCD of 184, 900, 764, 456?

GCD of given numbers 184, 900, 764, 456 is 4

2. How to calculate the greatest common divisor of 184, 900, 764, 456?

We can find the highest common divisor of 184, 900, 764, 456 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 184, 900, 764, 456 i.e 4.

3. How can I use the GCD of 184, 900, 764, 456Calculator?

Out the numbers 184, 900, 764, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.