GCD of 729, 676, 962, 493 Calculator

Given Input numbers are 729, 676, 962, 493

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

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 (729, 676, 962, 493) = 1.

Given numbers are 729, 676, 962, 493

The list of prime factors of all numbers are

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 962 are 2 x 13 x 37

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 729, 676, 962, 493

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

Apply this formula for all numbers.

Step1:

LCM(729, 676) = 492804

GCD(729, 676) = ( 729 x 676 ) / 492804

= 729 / 676

= 729

Step2:

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

= 1 / 962

= 1

Step3:

LCM(1, 493) = 493

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

= 1 / 493

= 1

So, Greatest Common Divisor of 729, 676, 962, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 599, 111, 989
• GCD of 587, 723, 688, 447
• GCD of 572, 618, 476, 298
• GCD of 516, 402, 692, 246
• GCD of 741, 290, 591, 482

Given numbers are 729, 676, 962, 493
The greatest common divisor of numbers 729, 676, 962, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 676, 962, 493 is 1.

1. What is the GCD of 729, 676, 962, 493?

GCD of given numbers 729, 676, 962, 493 is 1

2. How to calculate the greatest common divisor of 729, 676, 962, 493?

We can find the highest common divisor of 729, 676, 962, 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 729, 676, 962, 493 i.e 1.

3. How can I use the GCD of 729, 676, 962, 493Calculator?

Out the numbers 729, 676, 962, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.