GCD of 180, 814, 138, 628 Calculator

Given Input numbers are 180, 814, 138, 628

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 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

GCD of numbers is the greatest common divisor

So, the GCD (180, 814, 138, 628) = 2.

Given numbers are 180, 814, 138, 628

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 814 are 2 x 11 x 37

Prime factors of 138 are 2 x 3 x 23

Prime factors of 628 are 2 x 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 180, 814, 138, 628 is 2.

Given numbers are 180, 814, 138, 628

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

Apply this formula for all numbers.

Step1:

LCM(180, 814) = 73260

GCD(180, 814) = ( 180 x 814 ) / 73260

= 180 / 814

= 180

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

So, Greatest Common Divisor of 180, 814, 138, 628 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 537, 454, 547
• GCD of 367, 990, 214, 357
• GCD of 814, 206, 420, 388
• GCD of 890, 790, 607, 246
• GCD of 128, 353, 312, 355

Given numbers are 180, 814, 138, 628
The greatest common divisor of numbers 180, 814, 138, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 814, 138, 628 is 2.

1. What is the GCD of 180, 814, 138, 628?

GCD of given numbers 180, 814, 138, 628 is 2

2. How to calculate the greatest common divisor of 180, 814, 138, 628?

We can find the highest common divisor of 180, 814, 138, 628 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, 814, 138, 628 i.e 2.

3. How can I use the GCD of 180, 814, 138, 628Calculator?

Out the numbers 180, 814, 138, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.