GCD of 360, 200, 793, 829 Calculator

Given Input numbers are 360, 200, 793, 829

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793

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 (360, 200, 793, 829) = 1.

Given numbers are 360, 200, 793, 829

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 793 are 13 x 61

Prime factors of 829 are 829

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

Given numbers are 360, 200, 793, 829

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

Apply this formula for all numbers.

Step1:

LCM(360, 200) = 1800

GCD(360, 200) = ( 360 x 200 ) / 1800

= 360 / 200

= 360

Step2:

LCM(40, 793) = 31720

GCD(40, 793) = ( 40 x 793 ) / 31720

= 40 / 793

= 40

Step3:

LCM(1, 829) = 829

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

= 1 / 829

= 1

So, Greatest Common Divisor of 360, 200, 793, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 264, 428, 770
• GCD of 762, 610, 828, 704
• GCD of 539, 370, 475, 111
• GCD of 368, 799, 175, 772
• GCD of 605, 360, 237, 896

Given numbers are 360, 200, 793, 829
The greatest common divisor of numbers 360, 200, 793, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 200, 793, 829 is 1.

1. What is the GCD of 360, 200, 793, 829?

GCD of given numbers 360, 200, 793, 829 is 1

2. How to calculate the greatest common divisor of 360, 200, 793, 829?

We can find the highest common divisor of 360, 200, 793, 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 360, 200, 793, 829 i.e 1.

3. How can I use the GCD of 360, 200, 793, 829Calculator?

Out the numbers 360, 200, 793, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.