GCD of 972, 767, 819, 493 Calculator

Given Input numbers are 972, 767, 819, 493

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 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 493 :

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

1, 17, 29, 493

GCD of numbers is the greatest common divisor

So, the GCD (972, 767, 819, 493) = 1.

Given numbers are 972, 767, 819, 493

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 767 are 13 x 59

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 493 are 17 x 29

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

Given numbers are 972, 767, 819, 493

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

Apply this formula for all numbers.

Step1:

LCM(972, 767) = 745524

GCD(972, 767) = ( 972 x 767 ) / 745524

= 972 / 767

= 972

Step2:

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

= 1 / 819

= 1

Step3:

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

= 1 / 493

= 1

So, Greatest Common Divisor of 972, 767, 819, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 783, 453, 894
• GCD of 277, 940, 151, 644
• GCD of 183, 552, 542, 264
• GCD of 877, 917, 714, 476
• GCD of 354, 623, 317, 971

Given numbers are 972, 767, 819, 493
The greatest common divisor of numbers 972, 767, 819, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 767, 819, 493 is 1.

1. What is the GCD of 972, 767, 819, 493?

GCD of given numbers 972, 767, 819, 493 is 1

2. How to calculate the greatest common divisor of 972, 767, 819, 493?

We can find the highest common divisor of 972, 767, 819, 493 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, 767, 819, 493 i.e 1.

3. How can I use the GCD of 972, 767, 819, 493Calculator?

Out the numbers 972, 767, 819, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.