GCD of 545, 784, 180, 108 Calculator

Given Input numbers are 545, 784, 180, 108

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

Divisors of 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (545, 784, 180, 108) = 1.

Given numbers are 545, 784, 180, 108

The list of prime factors of all numbers are

Prime factors of 545 are 5 x 109

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 545, 784, 180, 108

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

Apply this formula for all numbers.

Step1:

LCM(545, 784) = 427280

GCD(545, 784) = ( 545 x 784 ) / 427280

= 545 / 784

= 545

Step2:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

Step3:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

So, Greatest Common Divisor of 545, 784, 180, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 396, 251, 190
• GCD of 546, 696, 236, 607
• GCD of 992, 141, 377, 417
• GCD of 958, 335, 972, 765
• GCD of 277, 949, 626, 653

Given numbers are 545, 784, 180, 108
The greatest common divisor of numbers 545, 784, 180, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 545, 784, 180, 108 is 1.

1. What is the GCD of 545, 784, 180, 108?

GCD of given numbers 545, 784, 180, 108 is 1

2. How to calculate the greatest common divisor of 545, 784, 180, 108?

We can find the highest common divisor of 545, 784, 180, 108 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 545, 784, 180, 108 i.e 1.

3. How can I use the GCD of 545, 784, 180, 108Calculator?

Out the numbers 545, 784, 180, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.