GCD of 123, 319, 369, 200 Calculator

Given Input numbers are 123, 319, 369, 200

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

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (123, 319, 369, 200) = 1.

Given numbers are 123, 319, 369, 200

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 319 are 11 x 29

Prime factors of 369 are 3 x 3 x 41

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

Given numbers are 123, 319, 369, 200

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

Apply this formula for all numbers.

Step1:

LCM(123, 319) = 39237

GCD(123, 319) = ( 123 x 319 ) / 39237

= 123 / 319

= 123

Step2:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 123, 319, 369, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 147, 671, 163
• GCD of 478, 615, 757, 885
• GCD of 478, 899, 270, 725
• GCD of 449, 381, 580, 478
• GCD of 719, 556, 107, 765

Given numbers are 123, 319, 369, 200
The greatest common divisor of numbers 123, 319, 369, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 319, 369, 200 is 1.

1. What is the GCD of 123, 319, 369, 200?

GCD of given numbers 123, 319, 369, 200 is 1

2. How to calculate the greatest common divisor of 123, 319, 369, 200?

We can find the highest common divisor of 123, 319, 369, 200 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 123, 319, 369, 200 i.e 1.

3. How can I use the GCD of 123, 319, 369, 200Calculator?

Out the numbers 123, 319, 369, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.