GCD of 800, 635, 450, 349 Calculator

Given Input numbers are 800, 635, 450, 349

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 635 :

The positive integer divisors of 635 that completely divides 635 are.

1, 5, 127, 635

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 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (800, 635, 450, 349) = 1.

Given numbers are 800, 635, 450, 349

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 635 are 5 x 127

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

Prime factors of 349 are 349

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

Given numbers are 800, 635, 450, 349

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

Apply this formula for all numbers.

Step1:

LCM(800, 635) = 101600

GCD(800, 635) = ( 800 x 635 ) / 101600

= 800 / 635

= 800

Step2:

LCM(5, 450) = 450

GCD(5, 450) = ( 5 x 450 ) / 450

= 5 / 450

= 5

Step3:

LCM(5, 349) = 1745

GCD(5, 349) = ( 5 x 349 ) / 1745

= 5 / 349

= 5

So, Greatest Common Divisor of 800, 635, 450, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 218, 115, 445
• GCD of 434, 893, 801, 464
• GCD of 580, 240, 378, 820
• GCD of 750, 503, 162, 508
• GCD of 351, 233, 284, 755

Given numbers are 800, 635, 450, 349
The greatest common divisor of numbers 800, 635, 450, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 635, 450, 349 is 1.

1. What is the GCD of 800, 635, 450, 349?

GCD of given numbers 800, 635, 450, 349 is 1

2. How to calculate the greatest common divisor of 800, 635, 450, 349?

We can find the highest common divisor of 800, 635, 450, 349 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, 635, 450, 349 i.e 1.

3. How can I use the GCD of 800, 635, 450, 349Calculator?

Out the numbers 800, 635, 450, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.