GCD of 972, 284, 321, 434 Calculator

Given Input numbers are 972, 284, 321, 434

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

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 321 :

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

1, 3, 107, 321

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (972, 284, 321, 434) = 1.

Given numbers are 972, 284, 321, 434

The list of prime factors of all numbers are

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

Prime factors of 284 are 2 x 2 x 71

Prime factors of 321 are 3 x 107

Prime factors of 434 are 2 x 7 x 31

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

Given numbers are 972, 284, 321, 434

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

Apply this formula for all numbers.

Step1:

LCM(972, 284) = 69012

GCD(972, 284) = ( 972 x 284 ) / 69012

= 972 / 284

= 972

Step2:

LCM(4, 321) = 1284

GCD(4, 321) = ( 4 x 321 ) / 1284

= 4 / 321

= 4

Step3:

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

= 1 / 434

= 1

So, Greatest Common Divisor of 972, 284, 321, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 237, 322, 355
• GCD of 780, 322, 897, 112
• GCD of 656, 807, 658, 957
• GCD of 931, 500, 898, 620
• GCD of 380, 301, 303, 338

Given numbers are 972, 284, 321, 434
The greatest common divisor of numbers 972, 284, 321, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 284, 321, 434 is 1.

1. What is the GCD of 972, 284, 321, 434?

GCD of given numbers 972, 284, 321, 434 is 1

2. How to calculate the greatest common divisor of 972, 284, 321, 434?

We can find the highest common divisor of 972, 284, 321, 434 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 972, 284, 321, 434 i.e 1.

3. How can I use the GCD of 972, 284, 321, 434Calculator?

Out the numbers 972, 284, 321, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.