GCD of 872, 745, 171, 428 Calculator

Given Input numbers are 872, 745, 171, 428

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 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (872, 745, 171, 428) = 1.

Given numbers are 872, 745, 171, 428

The list of prime factors of all numbers are

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

Prime factors of 745 are 5 x 149

Prime factors of 171 are 3 x 3 x 19

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 872, 745, 171, 428

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

Apply this formula for all numbers.

Step1:

LCM(872, 745) = 649640

GCD(872, 745) = ( 872 x 745 ) / 649640

= 872 / 745

= 872

Step2:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 872, 745, 171, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 584, 513, 994
• GCD of 649, 499, 242, 370
• GCD of 507, 970, 751, 943
• GCD of 389, 798, 753, 441
• GCD of 451, 707, 100, 951

Given numbers are 872, 745, 171, 428
The greatest common divisor of numbers 872, 745, 171, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 745, 171, 428 is 1.

1. What is the GCD of 872, 745, 171, 428?

GCD of given numbers 872, 745, 171, 428 is 1

2. How to calculate the greatest common divisor of 872, 745, 171, 428?

We can find the highest common divisor of 872, 745, 171, 428 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, 745, 171, 428 i.e 1.

3. How can I use the GCD of 872, 745, 171, 428Calculator?

Out the numbers 872, 745, 171, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.