GCD of 180, 464, 368, 657 Calculator

Given Input numbers are 180, 464, 368, 657

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

GCD of numbers is the greatest common divisor

So, the GCD (180, 464, 368, 657) = 1.

Given numbers are 180, 464, 368, 657

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 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 657 are 3 x 3 x 73

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

Given numbers are 180, 464, 368, 657

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

Apply this formula for all numbers.

Step1:

LCM(180, 464) = 20880

GCD(180, 464) = ( 180 x 464 ) / 20880

= 180 / 464

= 180

Step2:

LCM(4, 368) = 368

GCD(4, 368) = ( 4 x 368 ) / 368

= 4 / 368

= 4

Step3:

LCM(4, 657) = 2628

GCD(4, 657) = ( 4 x 657 ) / 2628

= 4 / 657

= 4

So, Greatest Common Divisor of 180, 464, 368, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 660, 222, 828
• GCD of 133, 700, 945, 119
• GCD of 426, 400, 264, 809
• GCD of 383, 818, 327, 671
• GCD of 717, 568, 317, 360

Given numbers are 180, 464, 368, 657
The greatest common divisor of numbers 180, 464, 368, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 464, 368, 657 is 1.

1. What is the GCD of 180, 464, 368, 657?

GCD of given numbers 180, 464, 368, 657 is 1

2. How to calculate the greatest common divisor of 180, 464, 368, 657?

We can find the highest common divisor of 180, 464, 368, 657 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, 464, 368, 657 i.e 1.

3. How can I use the GCD of 180, 464, 368, 657Calculator?

Out the numbers 180, 464, 368, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.