GCD of 361, 728, 553, 709 Calculator

Given Input numbers are 361, 728, 553, 709

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

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

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (361, 728, 553, 709) = 1.

Given numbers are 361, 728, 553, 709

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

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

Prime factors of 553 are 7 x 79

Prime factors of 709 are 709

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

Given numbers are 361, 728, 553, 709

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

Apply this formula for all numbers.

Step1:

LCM(361, 728) = 262808

GCD(361, 728) = ( 361 x 728 ) / 262808

= 361 / 728

= 361

Step2:

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

= 1 / 553

= 1

Step3:

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

= 1 / 709

= 1

So, Greatest Common Divisor of 361, 728, 553, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 200, 328, 670
• GCD of 184, 451, 272, 722
• GCD of 892, 234, 474, 280
• GCD of 317, 674, 118, 281
• GCD of 105, 812, 824, 587

Given numbers are 361, 728, 553, 709
The greatest common divisor of numbers 361, 728, 553, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 728, 553, 709 is 1.

1. What is the GCD of 361, 728, 553, 709?

GCD of given numbers 361, 728, 553, 709 is 1

2. How to calculate the greatest common divisor of 361, 728, 553, 709?

We can find the highest common divisor of 361, 728, 553, 709 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 361, 728, 553, 709 i.e 1.

3. How can I use the GCD of 361, 728, 553, 709Calculator?

Out the numbers 361, 728, 553, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.