GCD of 189, 461, 312, 424 Calculator

Given Input numbers are 189, 461, 312, 424

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 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (189, 461, 312, 424) = 1.

Given numbers are 189, 461, 312, 424

The list of prime factors of all numbers are

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

Prime factors of 461 are 461

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 424 are 2 x 2 x 2 x 53

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

Given numbers are 189, 461, 312, 424

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

Apply this formula for all numbers.

Step1:

LCM(189, 461) = 87129

GCD(189, 461) = ( 189 x 461 ) / 87129

= 189 / 461

= 189

Step2:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

Step3:

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

= 1 / 424

= 1

So, Greatest Common Divisor of 189, 461, 312, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 917, 252, 950
• GCD of 276, 871, 735, 222
• GCD of 419, 233, 593, 868
• GCD of 372, 161, 336, 578
• GCD of 607, 409, 814, 990

Given numbers are 189, 461, 312, 424
The greatest common divisor of numbers 189, 461, 312, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 461, 312, 424 is 1.

1. What is the GCD of 189, 461, 312, 424?

GCD of given numbers 189, 461, 312, 424 is 1

2. How to calculate the greatest common divisor of 189, 461, 312, 424?

We can find the highest common divisor of 189, 461, 312, 424 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, 461, 312, 424 i.e 1.

3. How can I use the GCD of 189, 461, 312, 424Calculator?

Out the numbers 189, 461, 312, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.