GCD of 355, 442, 800, 829 Calculator

Given Input numbers are 355, 442, 800, 829

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

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 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

GCD of numbers is the greatest common divisor

So, the GCD (355, 442, 800, 829) = 1.

Given numbers are 355, 442, 800, 829

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 442 are 2 x 13 x 17

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

Prime factors of 829 are 829

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

Given numbers are 355, 442, 800, 829

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

Apply this formula for all numbers.

Step1:

LCM(355, 442) = 156910

GCD(355, 442) = ( 355 x 442 ) / 156910

= 355 / 442

= 355

Step2:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1

Step3:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1

So, Greatest Common Divisor of 355, 442, 800, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 538, 117, 388
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• GCD of 408, 338, 546, 811
• GCD of 924, 783, 410, 802
• GCD of 863, 837, 614, 257

Given numbers are 355, 442, 800, 829
The greatest common divisor of numbers 355, 442, 800, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 442, 800, 829 is 1.

1. What is the GCD of 355, 442, 800, 829?

GCD of given numbers 355, 442, 800, 829 is 1

2. How to calculate the greatest common divisor of 355, 442, 800, 829?

We can find the highest common divisor of 355, 442, 800, 829 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 355, 442, 800, 829 i.e 1.

3. How can I use the GCD of 355, 442, 800, 829Calculator?

Out the numbers 355, 442, 800, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.