GCD of 800, 369, 938, 450 Calculator

Given Input numbers are 800, 369, 938, 450

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

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

GCD of numbers is the greatest common divisor

So, the GCD (800, 369, 938, 450) = 1.

Given numbers are 800, 369, 938, 450

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 369 are 3 x 3 x 41

Prime factors of 938 are 2 x 7 x 67

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

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

Given numbers are 800, 369, 938, 450

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

Apply this formula for all numbers.

Step1:

LCM(800, 369) = 295200

GCD(800, 369) = ( 800 x 369 ) / 295200

= 800 / 369

= 800

Step2:

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1

Step3:

LCM(1, 450) = 450

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

= 1 / 450

= 1

So, Greatest Common Divisor of 800, 369, 938, 450 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 824, 779, 102
• GCD of 133, 294, 140, 351
• GCD of 427, 576, 165, 689
• GCD of 603, 590, 855, 953
• GCD of 742, 153, 817, 286

Given numbers are 800, 369, 938, 450
The greatest common divisor of numbers 800, 369, 938, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 369, 938, 450 is 1.

1. What is the GCD of 800, 369, 938, 450?

GCD of given numbers 800, 369, 938, 450 is 1

2. How to calculate the greatest common divisor of 800, 369, 938, 450?

We can find the highest common divisor of 800, 369, 938, 450 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 800, 369, 938, 450 i.e 1.

3. How can I use the GCD of 800, 369, 938, 450Calculator?

Out the numbers 800, 369, 938, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.