GCD of 321, 280, 807, 972 Calculator

Given Input numbers are 321, 280, 807, 972

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

Divisors of 321 :

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

1, 3, 107, 321

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

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

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (321, 280, 807, 972) = 1.

Given numbers are 321, 280, 807, 972

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 807 are 3 x 269

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 321, 280, 807, 972

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

Apply this formula for all numbers.

Step1:

LCM(321, 280) = 89880

GCD(321, 280) = ( 321 x 280 ) / 89880

= 321 / 280

= 321

Step2:

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

= 1 / 807

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 321, 280, 807, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 237, 453, 148
• GCD of 129, 709, 854, 756
• GCD of 384, 999, 223, 279
• GCD of 703, 198, 127, 782
• GCD of 604, 867, 308, 884

Given numbers are 321, 280, 807, 972
The greatest common divisor of numbers 321, 280, 807, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 280, 807, 972 is 1.

1. What is the GCD of 321, 280, 807, 972?

GCD of given numbers 321, 280, 807, 972 is 1

2. How to calculate the greatest common divisor of 321, 280, 807, 972?

We can find the highest common divisor of 321, 280, 807, 972 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 321, 280, 807, 972 i.e 1.

3. How can I use the GCD of 321, 280, 807, 972Calculator?

Out the numbers 321, 280, 807, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.