GCD of 189, 100, 649, 831 Calculator

Given Input numbers are 189, 100, 649, 831

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 100 :

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

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

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

GCD of numbers is the greatest common divisor

So, the GCD (189, 100, 649, 831) = 1.

Given numbers are 189, 100, 649, 831

The list of prime factors of all numbers are

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

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

Prime factors of 649 are 11 x 59

Prime factors of 831 are 3 x 277

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

Given numbers are 189, 100, 649, 831

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

Apply this formula for all numbers.

Step1:

LCM(189, 100) = 18900

GCD(189, 100) = ( 189 x 100 ) / 18900

= 189 / 100

= 189

Step2:

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

= 1 / 649

= 1

Step3:

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

= 1 / 831

= 1

So, Greatest Common Divisor of 189, 100, 649, 831 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 686, 268, 185
• GCD of 814, 787, 325, 294
• GCD of 396, 839, 879, 832
• GCD of 142, 882, 798, 285
• GCD of 215, 294, 948, 667

Given numbers are 189, 100, 649, 831
The greatest common divisor of numbers 189, 100, 649, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 100, 649, 831 is 1.

1. What is the GCD of 189, 100, 649, 831?

GCD of given numbers 189, 100, 649, 831 is 1

2. How to calculate the greatest common divisor of 189, 100, 649, 831?

We can find the highest common divisor of 189, 100, 649, 831 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, 100, 649, 831 i.e 1.

3. How can I use the GCD of 189, 100, 649, 831Calculator?

Out the numbers 189, 100, 649, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.