GCD of 208, 328, 689, 546 Calculator

Given Input numbers are 208, 328, 689, 546

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

GCD of numbers is the greatest common divisor

So, the GCD (208, 328, 689, 546) = 1.

Given numbers are 208, 328, 689, 546

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 689 are 13 x 53

Prime factors of 546 are 2 x 3 x 7 x 13

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

Given numbers are 208, 328, 689, 546

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

Apply this formula for all numbers.

Step1:

LCM(208, 328) = 8528

GCD(208, 328) = ( 208 x 328 ) / 8528

= 208 / 328

= 208

Step2:

LCM(8, 689) = 5512

GCD(8, 689) = ( 8 x 689 ) / 5512

= 8 / 689

= 8

Step3:

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

= 1 / 546

= 1

So, Greatest Common Divisor of 208, 328, 689, 546 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 925, 154, 211
• GCD of 545, 167, 343, 506
• GCD of 474, 374, 747, 444
• GCD of 208, 447, 464, 925
• GCD of 751, 672, 454, 973

Given numbers are 208, 328, 689, 546
The greatest common divisor of numbers 208, 328, 689, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 328, 689, 546 is 1.

1. What is the GCD of 208, 328, 689, 546?

GCD of given numbers 208, 328, 689, 546 is 1

2. How to calculate the greatest common divisor of 208, 328, 689, 546?

We can find the highest common divisor of 208, 328, 689, 546 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 208, 328, 689, 546 i.e 1.

3. How can I use the GCD of 208, 328, 689, 546Calculator?

Out the numbers 208, 328, 689, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.