GCD of 382, 562, 828, 829 Calculator

Given Input numbers are 382, 562, 828, 829

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 (382, 562, 828, 829) = 1.

Given numbers are 382, 562, 828, 829

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 562 are 2 x 281

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 829 are 829

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

Given numbers are 382, 562, 828, 829

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

Apply this formula for all numbers.

Step1:

LCM(382, 562) = 107342

GCD(382, 562) = ( 382 x 562 ) / 107342

= 382 / 562

= 382

Step2:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

Step3:

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

= 2 / 829

= 2

So, Greatest Common Divisor of 382, 562, 828, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 943, 417, 721
• GCD of 465, 275, 484, 789
• GCD of 761, 632, 880, 926
• GCD of 747, 878, 182, 767
• GCD of 692, 134, 370, 310

Given numbers are 382, 562, 828, 829
The greatest common divisor of numbers 382, 562, 828, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 562, 828, 829 is 1.

1. What is the GCD of 382, 562, 828, 829?

GCD of given numbers 382, 562, 828, 829 is 1

2. How to calculate the greatest common divisor of 382, 562, 828, 829?

We can find the highest common divisor of 382, 562, 828, 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 382, 562, 828, 829 i.e 1.

3. How can I use the GCD of 382, 562, 828, 829Calculator?

Out the numbers 382, 562, 828, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.