GCD of 684, 321, 488, 838 Calculator

Given Input numbers are 684, 321, 488, 838

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (684, 321, 488, 838) = 1.

Given numbers are 684, 321, 488, 838

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 321 are 3 x 107

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 838 are 2 x 419

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

Given numbers are 684, 321, 488, 838

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

Apply this formula for all numbers.

Step1:

LCM(684, 321) = 73188

GCD(684, 321) = ( 684 x 321 ) / 73188

= 684 / 321

= 684

Step2:

LCM(3, 488) = 1464

GCD(3, 488) = ( 3 x 488 ) / 1464

= 3 / 488

= 3

Step3:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

So, Greatest Common Divisor of 684, 321, 488, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 747, 249, 157
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Given numbers are 684, 321, 488, 838
The greatest common divisor of numbers 684, 321, 488, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 321, 488, 838 is 1.

1. What is the GCD of 684, 321, 488, 838?

GCD of given numbers 684, 321, 488, 838 is 1

2. How to calculate the greatest common divisor of 684, 321, 488, 838?

We can find the highest common divisor of 684, 321, 488, 838 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 684, 321, 488, 838 i.e 1.

3. How can I use the GCD of 684, 321, 488, 838Calculator?

Out the numbers 684, 321, 488, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.