GCD of 180, 804, 642, 654 Calculator

Given Input numbers are 180, 804, 642, 654

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (180, 804, 642, 654) = 6.

Given numbers are 180, 804, 642, 654

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 642 are 2 x 3 x 107

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 180, 804, 642, 654 is 6.

Given numbers are 180, 804, 642, 654

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

Apply this formula for all numbers.

Step1:

LCM(180, 804) = 12060

GCD(180, 804) = ( 180 x 804 ) / 12060

= 180 / 804

= 180

Step2:

LCM(12, 642) = 1284

GCD(12, 642) = ( 12 x 642 ) / 1284

= 12 / 642

= 12

Step3:

LCM(6, 654) = 654

GCD(6, 654) = ( 6 x 654 ) / 654

= 6 / 654

= 6

So, Greatest Common Divisor of 180, 804, 642, 654 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 127, 347, 812
• GCD of 464, 924, 548, 783
• GCD of 129, 478, 106, 854
• GCD of 588, 397, 207, 650
• GCD of 592, 298, 246, 459

Given numbers are 180, 804, 642, 654
The greatest common divisor of numbers 180, 804, 642, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 804, 642, 654 is 6.

1. What is the GCD of 180, 804, 642, 654?

GCD of given numbers 180, 804, 642, 654 is 6

2. How to calculate the greatest common divisor of 180, 804, 642, 654?

We can find the highest common divisor of 180, 804, 642, 654 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 180, 804, 642, 654 i.e 6.

3. How can I use the GCD of 180, 804, 642, 654Calculator?

Out the numbers 180, 804, 642, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.