GCD of 369, 861, 214, 730 Calculator

Given Input numbers are 369, 861, 214, 730

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (369, 861, 214, 730) = 1.

Given numbers are 369, 861, 214, 730

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 861 are 3 x 7 x 41

Prime factors of 214 are 2 x 107

Prime factors of 730 are 2 x 5 x 73

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

Given numbers are 369, 861, 214, 730

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

Apply this formula for all numbers.

Step1:

LCM(369, 861) = 2583

GCD(369, 861) = ( 369 x 861 ) / 2583

= 369 / 861

= 369

Step2:

LCM(123, 214) = 26322

GCD(123, 214) = ( 123 x 214 ) / 26322

= 123 / 214

= 123

Step3:

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

= 1 / 730

= 1

So, Greatest Common Divisor of 369, 861, 214, 730 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 479, 666, 957
• GCD of 112, 349, 349, 796
• GCD of 846, 619, 884, 785
• GCD of 328, 123, 311, 560
• GCD of 407, 290, 304, 252

Given numbers are 369, 861, 214, 730
The greatest common divisor of numbers 369, 861, 214, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 861, 214, 730 is 1.

1. What is the GCD of 369, 861, 214, 730?

GCD of given numbers 369, 861, 214, 730 is 1

2. How to calculate the greatest common divisor of 369, 861, 214, 730?

We can find the highest common divisor of 369, 861, 214, 730 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 369, 861, 214, 730 i.e 1.

3. How can I use the GCD of 369, 861, 214, 730Calculator?

Out the numbers 369, 861, 214, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.