GCD of 998, 654, 360, 321 Calculator

Given Input numbers are 998, 654, 360, 321

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (998, 654, 360, 321) = 1.

Given numbers are 998, 654, 360, 321

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 654 are 2 x 3 x 109

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

Prime factors of 321 are 3 x 107

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

Given numbers are 998, 654, 360, 321

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

Apply this formula for all numbers.

Step1:

LCM(998, 654) = 326346

GCD(998, 654) = ( 998 x 654 ) / 326346

= 998 / 654

= 998

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

= 2 / 321

= 2

So, Greatest Common Divisor of 998, 654, 360, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 501, 859, 367
• GCD of 856, 275, 482, 257
• GCD of 760, 110, 197, 686
• GCD of 716, 491, 224, 234
• GCD of 227, 884, 914, 354

Given numbers are 998, 654, 360, 321
The greatest common divisor of numbers 998, 654, 360, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 654, 360, 321 is 1.

1. What is the GCD of 998, 654, 360, 321?

GCD of given numbers 998, 654, 360, 321 is 1

2. How to calculate the greatest common divisor of 998, 654, 360, 321?

We can find the highest common divisor of 998, 654, 360, 321 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 998, 654, 360, 321 i.e 1.

3. How can I use the GCD of 998, 654, 360, 321Calculator?

Out the numbers 998, 654, 360, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.