GCD of 398, 900, 321, 560 Calculator

Given Input numbers are 398, 900, 321, 560

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 321 :

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

1, 3, 107, 321

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (398, 900, 321, 560) = 1.

Given numbers are 398, 900, 321, 560

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 321 are 3 x 107

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

Given numbers are 398, 900, 321, 560

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

Apply this formula for all numbers.

Step1:

LCM(398, 900) = 179100

GCD(398, 900) = ( 398 x 900 ) / 179100

= 398 / 900

= 398

Step2:

LCM(2, 321) = 642

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

= 2 / 321

= 2

Step3:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1

So, Greatest Common Divisor of 398, 900, 321, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 343, 483, 942
• GCD of 849, 460, 171, 813
• GCD of 208, 981, 208, 217
• GCD of 848, 544, 559, 693
• GCD of 510, 882, 854, 208

Given numbers are 398, 900, 321, 560
The greatest common divisor of numbers 398, 900, 321, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 900, 321, 560 is 1.

1. What is the GCD of 398, 900, 321, 560?

GCD of given numbers 398, 900, 321, 560 is 1

2. How to calculate the greatest common divisor of 398, 900, 321, 560?

We can find the highest common divisor of 398, 900, 321, 560 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 398, 900, 321, 560 i.e 1.

3. How can I use the GCD of 398, 900, 321, 560Calculator?

Out the numbers 398, 900, 321, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.