GCD of 353, 864, 972, 584 Calculator

Given Input numbers are 353, 864, 972, 584

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

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (353, 864, 972, 584) = 1.

Given numbers are 353, 864, 972, 584

The list of prime factors of all numbers are

Prime factors of 353 are 353

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 584 are 2 x 2 x 2 x 73

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

Given numbers are 353, 864, 972, 584

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

Apply this formula for all numbers.

Step1:

LCM(353, 864) = 304992

GCD(353, 864) = ( 353 x 864 ) / 304992

= 353 / 864

= 353

Step2:

LCM(1, 972) = 972

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

= 1 / 972

= 1

Step3:

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

= 1 / 584

= 1

So, Greatest Common Divisor of 353, 864, 972, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 642, 712, 711
• GCD of 740, 971, 569, 165
• GCD of 921, 456, 313, 587
• GCD of 212, 575, 914, 249
• GCD of 631, 378, 883, 480

Given numbers are 353, 864, 972, 584
The greatest common divisor of numbers 353, 864, 972, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 353, 864, 972, 584 is 1.

1. What is the GCD of 353, 864, 972, 584?

GCD of given numbers 353, 864, 972, 584 is 1

2. How to calculate the greatest common divisor of 353, 864, 972, 584?

We can find the highest common divisor of 353, 864, 972, 584 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 353, 864, 972, 584 i.e 1.

3. How can I use the GCD of 353, 864, 972, 584Calculator?

Out the numbers 353, 864, 972, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.