GCD of 200, 209, 450, 560 Calculator

Given Input numbers are 200, 209, 450, 560

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

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (200, 209, 450, 560) = 1.

Given numbers are 200, 209, 450, 560

The list of prime factors of all numbers are

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

Prime factors of 209 are 11 x 19

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

Given numbers are 200, 209, 450, 560

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

Apply this formula for all numbers.

Step1:

LCM(200, 209) = 41800

GCD(200, 209) = ( 200 x 209 ) / 41800

= 200 / 209

= 200

Step2:

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

= 1 / 450

= 1

Step3:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1

So, Greatest Common Divisor of 200, 209, 450, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 981, 993, 967
• GCD of 720, 746, 709, 478
• GCD of 500, 539, 712, 253
• GCD of 788, 527, 175, 168
• GCD of 419, 791, 920, 997

Given numbers are 200, 209, 450, 560
The greatest common divisor of numbers 200, 209, 450, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 209, 450, 560 is 1.

1. What is the GCD of 200, 209, 450, 560?

GCD of given numbers 200, 209, 450, 560 is 1

2. How to calculate the greatest common divisor of 200, 209, 450, 560?

We can find the highest common divisor of 200, 209, 450, 560 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 200, 209, 450, 560 i.e 1.

3. How can I use the GCD of 200, 209, 450, 560Calculator?

Out the numbers 200, 209, 450, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.