GCD of 820, 849, 659, 189 Calculator

Given Input numbers are 820, 849, 659, 189

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

Divisors of 189 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (820, 849, 659, 189) = 1.

Given numbers are 820, 849, 659, 189

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 849 are 3 x 283

Prime factors of 659 are 659

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

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

Given numbers are 820, 849, 659, 189

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

Apply this formula for all numbers.

Step1:

LCM(820, 849) = 696180

GCD(820, 849) = ( 820 x 849 ) / 696180

= 820 / 849

= 820

Step2:

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

= 1 / 659

= 1

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 820, 849, 659, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 506, 614, 373
• GCD of 252, 644, 870, 252
• GCD of 200, 810, 952, 787
• GCD of 328, 122, 754, 665
• GCD of 595, 342, 360, 553

Given numbers are 820, 849, 659, 189
The greatest common divisor of numbers 820, 849, 659, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 849, 659, 189 is 1.

1. What is the GCD of 820, 849, 659, 189?

GCD of given numbers 820, 849, 659, 189 is 1

2. How to calculate the greatest common divisor of 820, 849, 659, 189?

We can find the highest common divisor of 820, 849, 659, 189 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 820, 849, 659, 189 i.e 1.

3. How can I use the GCD of 820, 849, 659, 189Calculator?

Out the numbers 820, 849, 659, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.