GCD of 189, 196, 878, 872 Calculator

Given Input numbers are 189, 196, 878, 872

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

Divisors of 872 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (189, 196, 878, 872) = 1.

Given numbers are 189, 196, 878, 872

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 878 are 2 x 439

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

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

Given numbers are 189, 196, 878, 872

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

Apply this formula for all numbers.

Step1:

LCM(189, 196) = 5292

GCD(189, 196) = ( 189 x 196 ) / 5292

= 189 / 196

= 189

Step2:

LCM(7, 878) = 6146

GCD(7, 878) = ( 7 x 878 ) / 6146

= 7 / 878

= 7

Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

So, Greatest Common Divisor of 189, 196, 878, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 507, 223, 469
• GCD of 688, 252, 393, 195
• GCD of 631, 780, 208, 259
• GCD of 369, 217, 322, 190
• GCD of 428, 875, 186, 876

Given numbers are 189, 196, 878, 872
The greatest common divisor of numbers 189, 196, 878, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 196, 878, 872 is 1.

1. What is the GCD of 189, 196, 878, 872?

GCD of given numbers 189, 196, 878, 872 is 1

2. How to calculate the greatest common divisor of 189, 196, 878, 872?

We can find the highest common divisor of 189, 196, 878, 872 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 189, 196, 878, 872 i.e 1.

3. How can I use the GCD of 189, 196, 878, 872Calculator?

Out the numbers 189, 196, 878, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.