GCD of 800, 471, 825, 403 Calculator

Given Input numbers are 800, 471, 825, 403

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 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

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 403 :

The positive integer divisors of 403 that completely divides 403 are.

1, 13, 31, 403

GCD of numbers is the greatest common divisor

So, the GCD (800, 471, 825, 403) = 1.

Given numbers are 800, 471, 825, 403

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 471 are 3 x 157

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

Prime factors of 403 are 13 x 31

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

Given numbers are 800, 471, 825, 403

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

Apply this formula for all numbers.

Step1:

LCM(800, 471) = 376800

GCD(800, 471) = ( 800 x 471 ) / 376800

= 800 / 471

= 800

Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

Step3:

LCM(1, 403) = 403

GCD(1, 403) = ( 1 x 403 ) / 403

= 1 / 403

= 1

So, Greatest Common Divisor of 800, 471, 825, 403 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 497, 104, 906, 913
• GCD of 840, 996, 761, 373
• GCD of 512, 484, 755, 874
• GCD of 801, 926, 834, 472
• GCD of 906, 907, 115, 411

Given numbers are 800, 471, 825, 403
The greatest common divisor of numbers 800, 471, 825, 403 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 471, 825, 403 is 1.

1. What is the GCD of 800, 471, 825, 403?

GCD of given numbers 800, 471, 825, 403 is 1

2. How to calculate the greatest common divisor of 800, 471, 825, 403?

We can find the highest common divisor of 800, 471, 825, 403 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, 471, 825, 403 i.e 1.

3. How can I use the GCD of 800, 471, 825, 403Calculator?

Out the numbers 800, 471, 825, 403 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.