GCD of 180, 305, 549, 616 Calculator

Given Input numbers are 180, 305, 549, 616

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 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (180, 305, 549, 616) = 1.

Given numbers are 180, 305, 549, 616

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 305 are 5 x 61

Prime factors of 549 are 3 x 3 x 61

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

Given numbers are 180, 305, 549, 616

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

Apply this formula for all numbers.

Step1:

LCM(180, 305) = 10980

GCD(180, 305) = ( 180 x 305 ) / 10980

= 180 / 305

= 180

Step2:

LCM(5, 549) = 2745

GCD(5, 549) = ( 5 x 549 ) / 2745

= 5 / 549

= 5

Step3:

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

= 1 / 616

= 1

So, Greatest Common Divisor of 180, 305, 549, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 218, 142, 176
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Given numbers are 180, 305, 549, 616
The greatest common divisor of numbers 180, 305, 549, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 305, 549, 616 is 1.

1. What is the GCD of 180, 305, 549, 616?

GCD of given numbers 180, 305, 549, 616 is 1

2. How to calculate the greatest common divisor of 180, 305, 549, 616?

We can find the highest common divisor of 180, 305, 549, 616 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, 305, 549, 616 i.e 1.

3. How can I use the GCD of 180, 305, 549, 616Calculator?

Out the numbers 180, 305, 549, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.