GCD of 243, 972, 493, 521 Calculator

Given Input numbers are 243, 972, 493, 521

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

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

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 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

GCD of numbers is the greatest common divisor

So, the GCD (243, 972, 493, 521) = 1.

Given numbers are 243, 972, 493, 521

The list of prime factors of all numbers are

Prime factors of 243 are 3 x 3 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 493 are 17 x 29

Prime factors of 521 are 521

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

Given numbers are 243, 972, 493, 521

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

Apply this formula for all numbers.

Step1:

LCM(243, 972) = 972

GCD(243, 972) = ( 243 x 972 ) / 972

= 243 / 972

= 243

Step2:

LCM(243, 493) = 119799

GCD(243, 493) = ( 243 x 493 ) / 119799

= 243 / 493

= 243

Step3:

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

= 1 / 521

= 1

So, Greatest Common Divisor of 243, 972, 493, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 859, 426, 962
• GCD of 130, 362, 739, 389
• GCD of 306, 596, 287, 942
• GCD of 482, 287, 892, 279
• GCD of 893, 902, 525, 649

Given numbers are 243, 972, 493, 521
The greatest common divisor of numbers 243, 972, 493, 521 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 972, 493, 521 is 1.

1. What is the GCD of 243, 972, 493, 521?

GCD of given numbers 243, 972, 493, 521 is 1

2. How to calculate the greatest common divisor of 243, 972, 493, 521?

We can find the highest common divisor of 243, 972, 493, 521 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 243, 972, 493, 521 i.e 1.

3. How can I use the GCD of 243, 972, 493, 521Calculator?

Out the numbers 243, 972, 493, 521 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.