GCD of 825, 642, 47, 409 Calculator

Given Input numbers are 825, 642, 47, 409

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 47 :

The positive integer divisors of 47 that completely divides 47 are.

1, 47

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

GCD of numbers is the greatest common divisor

So, the GCD (825, 642, 47, 409) = 1.

Given numbers are 825, 642, 47, 409

The list of prime factors of all numbers are

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

Prime factors of 642 are 2 x 3 x 107

Prime factors of 47 are 47

Prime factors of 409 are 409

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

Given numbers are 825, 642, 47, 409

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

Apply this formula for all numbers.

Step1:

LCM(825, 642) = 176550

GCD(825, 642) = ( 825 x 642 ) / 176550

= 825 / 642

= 825

Step2:

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

= 3 / 47

= 3

Step3:

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

= 1 / 409

= 1

So, Greatest Common Divisor of 825, 642, 47, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 785, 15, 958
• GCD of 697, 468, 20, 570
• GCD of 884, 123, 81, 464
• GCD of 152, 712, 78, 665
• GCD of 388, 847, 36, 753

Given numbers are 825, 642, 47, 409
The greatest common divisor of numbers 825, 642, 47, 409 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 642, 47, 409 is 1.

1. What is the GCD of 825, 642, 47, 409?

GCD of given numbers 825, 642, 47, 409 is 1

2. How to calculate the greatest common divisor of 825, 642, 47, 409?

We can find the highest common divisor of 825, 642, 47, 409 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, 642, 47, 409 i.e 1.

3. How can I use the GCD of 825, 642, 47, 409Calculator?

Out the numbers 825, 642, 47, 409 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.