GCD of 189, 290, 658, 900 Calculator

Given Input numbers are 189, 290, 658, 900

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 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (189, 290, 658, 900) = 1.

Given numbers are 189, 290, 658, 900

The list of prime factors of all numbers are

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

Prime factors of 290 are 2 x 5 x 29

Prime factors of 658 are 2 x 7 x 47

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 189, 290, 658, 900

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

Apply this formula for all numbers.

Step1:

LCM(189, 290) = 54810

GCD(189, 290) = ( 189 x 290 ) / 54810

= 189 / 290

= 189

Step2:

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

= 1 / 658

= 1

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 189, 290, 658, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 474, 334, 176
• GCD of 627, 415, 511, 395
• GCD of 244, 451, 513, 155
• GCD of 512, 184, 799, 779
• GCD of 251, 147, 678, 417

Given numbers are 189, 290, 658, 900
The greatest common divisor of numbers 189, 290, 658, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 290, 658, 900 is 1.

1. What is the GCD of 189, 290, 658, 900?

GCD of given numbers 189, 290, 658, 900 is 1

2. How to calculate the greatest common divisor of 189, 290, 658, 900?

We can find the highest common divisor of 189, 290, 658, 900 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, 290, 658, 900 i.e 1.

3. How can I use the GCD of 189, 290, 658, 900Calculator?

Out the numbers 189, 290, 658, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.