GCD of 345, 693, 900, 199 Calculator

Given Input numbers are 345, 693, 900, 199

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

GCD of numbers is the greatest common divisor

So, the GCD (345, 693, 900, 199) = 1.

Given numbers are 345, 693, 900, 199

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 199 are 199

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

Given numbers are 345, 693, 900, 199

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

Apply this formula for all numbers.

Step1:

LCM(345, 693) = 79695

GCD(345, 693) = ( 345 x 693 ) / 79695

= 345 / 693

= 345

Step2:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

Step3:

LCM(3, 199) = 597

GCD(3, 199) = ( 3 x 199 ) / 597

= 3 / 199

= 3

So, Greatest Common Divisor of 345, 693, 900, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 695, 253, 913
• GCD of 423, 777, 860, 295
• GCD of 598, 145, 302, 719
• GCD of 844, 264, 419, 908
• GCD of 677, 579, 486, 433

Given numbers are 345, 693, 900, 199
The greatest common divisor of numbers 345, 693, 900, 199 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 693, 900, 199 is 1.

1. What is the GCD of 345, 693, 900, 199?

GCD of given numbers 345, 693, 900, 199 is 1

2. How to calculate the greatest common divisor of 345, 693, 900, 199?

We can find the highest common divisor of 345, 693, 900, 199 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 345, 693, 900, 199 i.e 1.

3. How can I use the GCD of 345, 693, 900, 199Calculator?

Out the numbers 345, 693, 900, 199 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.