GCD of 872, 446, 725, 792 Calculator

Given Input numbers are 872, 446, 725, 792

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

GCD of numbers is the greatest common divisor

So, the GCD (872, 446, 725, 792) = 1.

Given numbers are 872, 446, 725, 792

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 446 are 2 x 223

Prime factors of 725 are 5 x 5 x 29

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

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

Given numbers are 872, 446, 725, 792

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

Apply this formula for all numbers.

Step1:

LCM(872, 446) = 194456

GCD(872, 446) = ( 872 x 446 ) / 194456

= 872 / 446

= 872

Step2:

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

= 2 / 725

= 2

Step3:

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

= 1 / 792

= 1

So, Greatest Common Divisor of 872, 446, 725, 792 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 339, 529, 233
• GCD of 261, 661, 637, 110
• GCD of 288, 639, 492, 783
• GCD of 496, 196, 823, 921
• GCD of 780, 511, 322, 489

Given numbers are 872, 446, 725, 792
The greatest common divisor of numbers 872, 446, 725, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 446, 725, 792 is 1.

1. What is the GCD of 872, 446, 725, 792?

GCD of given numbers 872, 446, 725, 792 is 1

2. How to calculate the greatest common divisor of 872, 446, 725, 792?

We can find the highest common divisor of 872, 446, 725, 792 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 872, 446, 725, 792 i.e 1.

3. How can I use the GCD of 872, 446, 725, 792Calculator?

Out the numbers 872, 446, 725, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.