GCD of 349, 722, 361, 728 Calculator

Given Input numbers are 349, 722, 361, 728

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

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 722 :

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

1, 2, 19, 38, 361, 722

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (349, 722, 361, 728) = 1.

Given numbers are 349, 722, 361, 728

The list of prime factors of all numbers are

Prime factors of 349 are 349

Prime factors of 722 are 2 x 19 x 19

Prime factors of 361 are 19 x 19

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 349, 722, 361, 728

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

Apply this formula for all numbers.

Step1:

LCM(349, 722) = 251978

GCD(349, 722) = ( 349 x 722 ) / 251978

= 349 / 722

= 349

Step2:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 349, 722, 361, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 433, 169, 579
• GCD of 511, 139, 298, 475
• GCD of 768, 364, 959, 410
• GCD of 152, 381, 693, 816
• GCD of 392, 865, 640, 580

Given numbers are 349, 722, 361, 728
The greatest common divisor of numbers 349, 722, 361, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 722, 361, 728 is 1.

1. What is the GCD of 349, 722, 361, 728?

GCD of given numbers 349, 722, 361, 728 is 1

2. How to calculate the greatest common divisor of 349, 722, 361, 728?

We can find the highest common divisor of 349, 722, 361, 728 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 349, 722, 361, 728 i.e 1.

3. How can I use the GCD of 349, 722, 361, 728Calculator?

Out the numbers 349, 722, 361, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.