GCD of 493, 447, 972, 698 Calculator

Given Input numbers are 493, 447, 972, 698

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

Divisors of 493 :

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

1, 17, 29, 493

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

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 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (493, 447, 972, 698) = 1.

Given numbers are 493, 447, 972, 698

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 447 are 3 x 149

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

Prime factors of 698 are 2 x 349

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

Given numbers are 493, 447, 972, 698

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

Apply this formula for all numbers.

Step1:

LCM(493, 447) = 220371

GCD(493, 447) = ( 493 x 447 ) / 220371

= 493 / 447

= 493

Step2:

LCM(1, 972) = 972

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

= 1 / 972

= 1

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 493, 447, 972, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 185, 332, 339
• GCD of 745, 340, 359, 814
• GCD of 915, 706, 914, 607
• GCD of 213, 501, 353, 936
• GCD of 333, 873, 772, 472

Given numbers are 493, 447, 972, 698
The greatest common divisor of numbers 493, 447, 972, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 447, 972, 698 is 1.

1. What is the GCD of 493, 447, 972, 698?

GCD of given numbers 493, 447, 972, 698 is 1

2. How to calculate the greatest common divisor of 493, 447, 972, 698?

We can find the highest common divisor of 493, 447, 972, 698 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 493, 447, 972, 698 i.e 1.

3. How can I use the GCD of 493, 447, 972, 698Calculator?

Out the numbers 493, 447, 972, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.