GCD of 189, 605, 874, 125 Calculator

Given Input numbers are 189, 605, 874, 125

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 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 125 :

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

1, 5, 25, 125

GCD of numbers is the greatest common divisor

So, the GCD (189, 605, 874, 125) = 1.

Given numbers are 189, 605, 874, 125

The list of prime factors of all numbers are

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

Prime factors of 605 are 5 x 11 x 11

Prime factors of 874 are 2 x 19 x 23

Prime factors of 125 are 5 x 5 x 5

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

Given numbers are 189, 605, 874, 125

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

Apply this formula for all numbers.

Step1:

LCM(189, 605) = 114345

GCD(189, 605) = ( 189 x 605 ) / 114345

= 189 / 605

= 189

Step2:

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

= 1 / 874

= 1

Step3:

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

= 1 / 125

= 1

So, Greatest Common Divisor of 189, 605, 874, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 949, 140, 166
• GCD of 784, 603, 899, 757
• GCD of 381, 730, 675, 140
• GCD of 971, 866, 129, 867
• GCD of 455, 735, 517, 831

Given numbers are 189, 605, 874, 125
The greatest common divisor of numbers 189, 605, 874, 125 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 605, 874, 125 is 1.

1. What is the GCD of 189, 605, 874, 125?

GCD of given numbers 189, 605, 874, 125 is 1

2. How to calculate the greatest common divisor of 189, 605, 874, 125?

We can find the highest common divisor of 189, 605, 874, 125 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, 605, 874, 125 i.e 1.

3. How can I use the GCD of 189, 605, 874, 125Calculator?

Out the numbers 189, 605, 874, 125 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.