GCD of 320, 457, 644, 360 Calculator

Given Input numbers are 320, 457, 644, 360

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (320, 457, 644, 360) = 1.

Given numbers are 320, 457, 644, 360

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 457 are 457

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 320, 457, 644, 360

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

Apply this formula for all numbers.

Step1:

LCM(320, 457) = 146240

GCD(320, 457) = ( 320 x 457 ) / 146240

= 320 / 457

= 320

Step2:

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

= 1 / 644

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 320, 457, 644, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 244, 366, 400
• GCD of 666, 561, 978, 501
• GCD of 100, 562, 836, 375
• GCD of 752, 896, 546, 346
• GCD of 921, 443, 456, 422

Given numbers are 320, 457, 644, 360
The greatest common divisor of numbers 320, 457, 644, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 457, 644, 360 is 1.

1. What is the GCD of 320, 457, 644, 360?

GCD of given numbers 320, 457, 644, 360 is 1

2. How to calculate the greatest common divisor of 320, 457, 644, 360?

We can find the highest common divisor of 320, 457, 644, 360 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 320, 457, 644, 360 i.e 1.

3. How can I use the GCD of 320, 457, 644, 360Calculator?

Out the numbers 320, 457, 644, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.