GCD of 825, 319, 927, 400 Calculator

Given Input numbers are 825, 319, 927, 400

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

Divisors of 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

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

GCD of numbers is the greatest common divisor

So, the GCD (825, 319, 927, 400) = 1.

Given numbers are 825, 319, 927, 400

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 319 are 11 x 29

Prime factors of 927 are 3 x 3 x 103

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

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

Given numbers are 825, 319, 927, 400

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

Apply this formula for all numbers.

Step1:

LCM(825, 319) = 23925

GCD(825, 319) = ( 825 x 319 ) / 23925

= 825 / 319

= 825

Step2:

LCM(11, 927) = 10197

GCD(11, 927) = ( 11 x 927 ) / 10197

= 11 / 927

= 11

Step3:

LCM(1, 400) = 400

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

= 1 / 400

= 1

So, Greatest Common Divisor of 825, 319, 927, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 179, 458, 407
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• GCD of 705, 599, 819, 389
• GCD of 723, 727, 501, 274
• GCD of 394, 843, 306, 182

Given numbers are 825, 319, 927, 400
The greatest common divisor of numbers 825, 319, 927, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 319, 927, 400 is 1.

1. What is the GCD of 825, 319, 927, 400?

GCD of given numbers 825, 319, 927, 400 is 1

2. How to calculate the greatest common divisor of 825, 319, 927, 400?

We can find the highest common divisor of 825, 319, 927, 400 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 825, 319, 927, 400 i.e 1.

3. How can I use the GCD of 825, 319, 927, 400Calculator?

Out the numbers 825, 319, 927, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.