GCD of 189, 518, 299, 421 Calculator

Given Input numbers are 189, 518, 299, 421

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 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

GCD of numbers is the greatest common divisor

So, the GCD (189, 518, 299, 421) = 1.

Given numbers are 189, 518, 299, 421

The list of prime factors of all numbers are

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

Prime factors of 518 are 2 x 7 x 37

Prime factors of 299 are 13 x 23

Prime factors of 421 are 421

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

Given numbers are 189, 518, 299, 421

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

Apply this formula for all numbers.

Step1:

LCM(189, 518) = 13986

GCD(189, 518) = ( 189 x 518 ) / 13986

= 189 / 518

= 189

Step2:

LCM(7, 299) = 2093

GCD(7, 299) = ( 7 x 299 ) / 2093

= 7 / 299

= 7

Step3:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1

So, Greatest Common Divisor of 189, 518, 299, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 710, 712, 244
• GCD of 769, 960, 356, 537
• GCD of 387, 722, 675, 505
• GCD of 840, 864, 218, 323
• GCD of 595, 945, 394, 556

Given numbers are 189, 518, 299, 421
The greatest common divisor of numbers 189, 518, 299, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 518, 299, 421 is 1.

1. What is the GCD of 189, 518, 299, 421?

GCD of given numbers 189, 518, 299, 421 is 1

2. How to calculate the greatest common divisor of 189, 518, 299, 421?

We can find the highest common divisor of 189, 518, 299, 421 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, 518, 299, 421 i.e 1.

3. How can I use the GCD of 189, 518, 299, 421Calculator?

Out the numbers 189, 518, 299, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.