GCD of 828, 380, 554, 821 Calculator

Given Input numbers are 828, 380, 554, 821

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

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (828, 380, 554, 821) = 1.

Given numbers are 828, 380, 554, 821

The list of prime factors of all numbers are

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

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 554 are 2 x 277

Prime factors of 821 are 821

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

Given numbers are 828, 380, 554, 821

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

Apply this formula for all numbers.

Step1:

LCM(828, 380) = 78660

GCD(828, 380) = ( 828 x 380 ) / 78660

= 828 / 380

= 828

Step2:

LCM(4, 554) = 1108

GCD(4, 554) = ( 4 x 554 ) / 1108

= 4 / 554

= 4

Step3:

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

= 2 / 821

= 2

So, Greatest Common Divisor of 828, 380, 554, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 532, 993, 311
• GCD of 581, 392, 526, 597
• GCD of 200, 208, 241, 518
• GCD of 499, 422, 451, 573
• GCD of 154, 655, 931, 393

Given numbers are 828, 380, 554, 821
The greatest common divisor of numbers 828, 380, 554, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 380, 554, 821 is 1.

1. What is the GCD of 828, 380, 554, 821?

GCD of given numbers 828, 380, 554, 821 is 1

2. How to calculate the greatest common divisor of 828, 380, 554, 821?

We can find the highest common divisor of 828, 380, 554, 821 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 828, 380, 554, 821 i.e 1.

3. How can I use the GCD of 828, 380, 554, 821Calculator?

Out the numbers 828, 380, 554, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.