GCD of 872, 100, 125, 223 Calculator

Given Input numbers are 872, 100, 125, 223

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 223 :

The positive integer divisors of 223 that completely divides 223 are.

1, 223

GCD of numbers is the greatest common divisor

So, the GCD (872, 100, 125, 223) = 1.

Given numbers are 872, 100, 125, 223

The list of prime factors of all numbers are

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

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 125 are 5 x 5 x 5

Prime factors of 223 are 223

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

Given numbers are 872, 100, 125, 223

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

Apply this formula for all numbers.

Step1:

LCM(872, 100) = 21800

GCD(872, 100) = ( 872 x 100 ) / 21800

= 872 / 100

= 872

Step2:

LCM(4, 125) = 500

GCD(4, 125) = ( 4 x 125 ) / 500

= 4 / 125

= 4

Step3:

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

= 1 / 223

= 1

So, Greatest Common Divisor of 872, 100, 125, 223 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 351, 290, 315
• GCD of 548, 372, 777, 909
• GCD of 429, 405, 102, 960
• GCD of 783, 536, 178, 375
• GCD of 866, 728, 454, 902

Given numbers are 872, 100, 125, 223
The greatest common divisor of numbers 872, 100, 125, 223 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 100, 125, 223 is 1.

1. What is the GCD of 872, 100, 125, 223?

GCD of given numbers 872, 100, 125, 223 is 1

2. How to calculate the greatest common divisor of 872, 100, 125, 223?

We can find the highest common divisor of 872, 100, 125, 223 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, 100, 125, 223 i.e 1.

3. How can I use the GCD of 872, 100, 125, 223Calculator?

Out the numbers 872, 100, 125, 223 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.