GCD of 309, 486, 724, 722 Calculator

Given Input numbers are 309, 486, 724, 722

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (309, 486, 724, 722) = 1.

Given numbers are 309, 486, 724, 722

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 724 are 2 x 2 x 181

Prime factors of 722 are 2 x 19 x 19

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

Given numbers are 309, 486, 724, 722

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

Apply this formula for all numbers.

Step1:

LCM(309, 486) = 50058

GCD(309, 486) = ( 309 x 486 ) / 50058

= 309 / 486

= 309

Step2:

LCM(3, 724) = 2172

GCD(3, 724) = ( 3 x 724 ) / 2172

= 3 / 724

= 3

Step3:

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

= 1 / 722

= 1

So, Greatest Common Divisor of 309, 486, 724, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 147, 683, 729
• GCD of 830, 934, 835, 740
• GCD of 847, 504, 578, 368
• GCD of 103, 340, 971, 447
• GCD of 634, 194, 182, 758

Given numbers are 309, 486, 724, 722
The greatest common divisor of numbers 309, 486, 724, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 486, 724, 722 is 1.

1. What is the GCD of 309, 486, 724, 722?

GCD of given numbers 309, 486, 724, 722 is 1

2. How to calculate the greatest common divisor of 309, 486, 724, 722?

We can find the highest common divisor of 309, 486, 724, 722 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 309, 486, 724, 722 i.e 1.

3. How can I use the GCD of 309, 486, 724, 722Calculator?

Out the numbers 309, 486, 724, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.