GCD of 800, 205, 392, 925 Calculator

Given Input numbers are 800, 205, 392, 925

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

GCD of numbers is the greatest common divisor

So, the GCD (800, 205, 392, 925) = 1.

Given numbers are 800, 205, 392, 925

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 205 are 5 x 41

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 925 are 5 x 5 x 37

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

Given numbers are 800, 205, 392, 925

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

Apply this formula for all numbers.

Step1:

LCM(800, 205) = 32800

GCD(800, 205) = ( 800 x 205 ) / 32800

= 800 / 205

= 800

Step2:

LCM(5, 392) = 1960

GCD(5, 392) = ( 5 x 392 ) / 1960

= 5 / 392

= 5

Step3:

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

= 1 / 925

= 1

So, Greatest Common Divisor of 800, 205, 392, 925 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 264, 140, 301
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Given numbers are 800, 205, 392, 925
The greatest common divisor of numbers 800, 205, 392, 925 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 205, 392, 925 is 1.

1. What is the GCD of 800, 205, 392, 925?

GCD of given numbers 800, 205, 392, 925 is 1

2. How to calculate the greatest common divisor of 800, 205, 392, 925?

We can find the highest common divisor of 800, 205, 392, 925 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 800, 205, 392, 925 i.e 1.

3. How can I use the GCD of 800, 205, 392, 925Calculator?

Out the numbers 800, 205, 392, 925 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.