GCD of 546, 638, 728, 644 Calculator

Given Input numbers are 546, 638, 728, 644

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

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (546, 638, 728, 644) = 2.

Given numbers are 546, 638, 728, 644

The list of prime factors of all numbers are

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

Prime factors of 638 are 2 x 11 x 29

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 644 are 2 x 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 546, 638, 728, 644 is 2.

Given numbers are 546, 638, 728, 644

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

Apply this formula for all numbers.

Step1:

LCM(546, 638) = 174174

GCD(546, 638) = ( 546 x 638 ) / 174174

= 546 / 638

= 546

Step2:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

Step3:

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

= 2 / 644

= 2

So, Greatest Common Divisor of 546, 638, 728, 644 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 141, 453, 487
• GCD of 355, 806, 799, 293
• GCD of 493, 915, 818, 216
• GCD of 823, 496, 237, 845
• GCD of 786, 141, 658, 168

Given numbers are 546, 638, 728, 644
The greatest common divisor of numbers 546, 638, 728, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 638, 728, 644 is 2.

1. What is the GCD of 546, 638, 728, 644?

GCD of given numbers 546, 638, 728, 644 is 2

2. How to calculate the greatest common divisor of 546, 638, 728, 644?

We can find the highest common divisor of 546, 638, 728, 644 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 546, 638, 728, 644 i.e 2.

3. How can I use the GCD of 546, 638, 728, 644Calculator?

Out the numbers 546, 638, 728, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.