GCD of 546, 679, 509, 738 Calculator

Given Input numbers are 546, 679, 509, 738

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 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (546, 679, 509, 738) = 1.

Given numbers are 546, 679, 509, 738

The list of prime factors of all numbers are

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

Prime factors of 679 are 7 x 97

Prime factors of 509 are 509

Prime factors of 738 are 2 x 3 x 3 x 41

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

Given numbers are 546, 679, 509, 738

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

Apply this formula for all numbers.

Step1:

LCM(546, 679) = 52962

GCD(546, 679) = ( 546 x 679 ) / 52962

= 546 / 679

= 546

Step2:

LCM(7, 509) = 3563

GCD(7, 509) = ( 7 x 509 ) / 3563

= 7 / 509

= 7

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 546, 679, 509, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 703, 351, 383
• GCD of 319, 355, 198, 728
• GCD of 307, 228, 290, 261
• GCD of 819, 873, 652, 840
• GCD of 872, 699, 383, 601

Given numbers are 546, 679, 509, 738
The greatest common divisor of numbers 546, 679, 509, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 679, 509, 738 is 1.

1. What is the GCD of 546, 679, 509, 738?

GCD of given numbers 546, 679, 509, 738 is 1

2. How to calculate the greatest common divisor of 546, 679, 509, 738?

We can find the highest common divisor of 546, 679, 509, 738 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, 679, 509, 738 i.e 1.

3. How can I use the GCD of 546, 679, 509, 738Calculator?

Out the numbers 546, 679, 509, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.