GCD of 400, 300, 832, 823 Calculator

Given Input numbers are 400, 300, 832, 823

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

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 823 :

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

1, 823

GCD of numbers is the greatest common divisor

So, the GCD (400, 300, 832, 823) = 1.

Given numbers are 400, 300, 832, 823

The list of prime factors of all numbers are

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 823 are 823

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

Given numbers are 400, 300, 832, 823

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

Apply this formula for all numbers.

Step1:

LCM(400, 300) = 1200

GCD(400, 300) = ( 400 x 300 ) / 1200

= 400 / 300

= 400

Step2:

LCM(100, 832) = 20800

GCD(100, 832) = ( 100 x 832 ) / 20800

= 100 / 832

= 100

Step3:

LCM(4, 823) = 3292

GCD(4, 823) = ( 4 x 823 ) / 3292

= 4 / 823

= 4

So, Greatest Common Divisor of 400, 300, 832, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 721, 597, 380
• GCD of 367, 348, 487, 705
• GCD of 700, 865, 957, 732
• GCD of 725, 476, 187, 262
• GCD of 262, 372, 974, 651

Given numbers are 400, 300, 832, 823
The greatest common divisor of numbers 400, 300, 832, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 300, 832, 823 is 1.

1. What is the GCD of 400, 300, 832, 823?

GCD of given numbers 400, 300, 832, 823 is 1

2. How to calculate the greatest common divisor of 400, 300, 832, 823?

We can find the highest common divisor of 400, 300, 832, 823 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 400, 300, 832, 823 i.e 1.

3. How can I use the GCD of 400, 300, 832, 823Calculator?

Out the numbers 400, 300, 832, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.