GCD of 689, 180, 758, 546 Calculator

Given Input numbers are 689, 180, 758, 546

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

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

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 (689, 180, 758, 546) = 1.

Given numbers are 689, 180, 758, 546

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 758 are 2 x 379

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 689, 180, 758, 546

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

Apply this formula for all numbers.

Step1:

LCM(689, 180) = 124020

GCD(689, 180) = ( 689 x 180 ) / 124020

= 689 / 180

= 689

Step2:

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

= 1 / 758

= 1

Step3:

LCM(1, 546) = 546

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

= 1 / 546

= 1

So, Greatest Common Divisor of 689, 180, 758, 546 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 856, 410, 794
• GCD of 244, 526, 836, 530
• GCD of 824, 499, 181, 409
• GCD of 566, 911, 180, 618
• GCD of 162, 394, 668, 965

Given numbers are 689, 180, 758, 546
The greatest common divisor of numbers 689, 180, 758, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 180, 758, 546 is 1.

1. What is the GCD of 689, 180, 758, 546?

GCD of given numbers 689, 180, 758, 546 is 1

2. How to calculate the greatest common divisor of 689, 180, 758, 546?

We can find the highest common divisor of 689, 180, 758, 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 689, 180, 758, 546 i.e 1.

3. How can I use the GCD of 689, 180, 758, 546Calculator?

Out the numbers 689, 180, 758, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.