GCD of 872, 172, 400, 669 Calculator

Given Input numbers are 872, 172, 400, 669

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 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

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

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

GCD of numbers is the greatest common divisor

So, the GCD (872, 172, 400, 669) = 1.

Given numbers are 872, 172, 400, 669

The list of prime factors of all numbers are

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

Prime factors of 172 are 2 x 2 x 43

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

Prime factors of 669 are 3 x 223

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

Given numbers are 872, 172, 400, 669

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

Apply this formula for all numbers.

Step1:

LCM(872, 172) = 37496

GCD(872, 172) = ( 872 x 172 ) / 37496

= 872 / 172

= 872

Step2:

LCM(4, 400) = 400

GCD(4, 400) = ( 4 x 400 ) / 400

= 4 / 400

= 4

Step3:

LCM(4, 669) = 2676

GCD(4, 669) = ( 4 x 669 ) / 2676

= 4 / 669

= 4

So, Greatest Common Divisor of 872, 172, 400, 669 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 840, 752, 997
• GCD of 462, 850, 254, 924
• GCD of 902, 911, 544, 718
• GCD of 422, 175, 693, 404
• GCD of 454, 986, 497, 741

Given numbers are 872, 172, 400, 669
The greatest common divisor of numbers 872, 172, 400, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 172, 400, 669 is 1.

1. What is the GCD of 872, 172, 400, 669?

GCD of given numbers 872, 172, 400, 669 is 1

2. How to calculate the greatest common divisor of 872, 172, 400, 669?

We can find the highest common divisor of 872, 172, 400, 669 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, 172, 400, 669 i.e 1.

3. How can I use the GCD of 872, 172, 400, 669Calculator?

Out the numbers 872, 172, 400, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.