GCD of 364, 723, 123, 217 Calculator

Given Input numbers are 364, 723, 123, 217

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

GCD of numbers is the greatest common divisor

So, the GCD (364, 723, 123, 217) = 1.

Given numbers are 364, 723, 123, 217

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 723 are 3 x 241

Prime factors of 123 are 3 x 41

Prime factors of 217 are 7 x 31

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

Given numbers are 364, 723, 123, 217

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

Apply this formula for all numbers.

Step1:

LCM(364, 723) = 263172

GCD(364, 723) = ( 364 x 723 ) / 263172

= 364 / 723

= 364

Step2:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1

Step3:

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

= 1 / 217

= 1

So, Greatest Common Divisor of 364, 723, 123, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 222, 952, 118
• GCD of 819, 266, 607, 358
• GCD of 986, 848, 837, 651
• GCD of 143, 593, 911, 518
• GCD of 693, 447, 914, 885

Given numbers are 364, 723, 123, 217
The greatest common divisor of numbers 364, 723, 123, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 723, 123, 217 is 1.

1. What is the GCD of 364, 723, 123, 217?

GCD of given numbers 364, 723, 123, 217 is 1

2. How to calculate the greatest common divisor of 364, 723, 123, 217?

We can find the highest common divisor of 364, 723, 123, 217 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 364, 723, 123, 217 i.e 1.

3. How can I use the GCD of 364, 723, 123, 217Calculator?

Out the numbers 364, 723, 123, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.