GCD of 823, 528, 400, 538 Calculator

Given Input numbers are 823, 528, 400, 538

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

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (823, 528, 400, 538) = 1.

Given numbers are 823, 528, 400, 538

The list of prime factors of all numbers are

Prime factors of 823 are 823

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 538 are 2 x 269

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

Given numbers are 823, 528, 400, 538

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

Apply this formula for all numbers.

Step1:

LCM(823, 528) = 434544

GCD(823, 528) = ( 823 x 528 ) / 434544

= 823 / 528

= 823

Step2:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

Step3:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1

So, Greatest Common Divisor of 823, 528, 400, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 996, 985, 965
• GCD of 714, 832, 764, 302
• GCD of 844, 229, 341, 697
• GCD of 279, 873, 298, 720
• GCD of 461, 146, 879, 343

Given numbers are 823, 528, 400, 538
The greatest common divisor of numbers 823, 528, 400, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 528, 400, 538 is 1.

1. What is the GCD of 823, 528, 400, 538?

GCD of given numbers 823, 528, 400, 538 is 1

2. How to calculate the greatest common divisor of 823, 528, 400, 538?

We can find the highest common divisor of 823, 528, 400, 538 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 823, 528, 400, 538 i.e 1.

3. How can I use the GCD of 823, 528, 400, 538Calculator?

Out the numbers 823, 528, 400, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.