GCD of 545, 132, 689 Calculator

Given Input numbers are 545, 132, 689

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

Divisors of 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (545, 132, 689) = 1.

Given numbers are 545, 132, 689

The list of prime factors of all numbers are

Prime factors of 545 are 5 x 109

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 689 are 13 x 53

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

Given numbers are 545, 132, 689

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

Apply this formula for all numbers.

Step1:

LCM(545, 132) = 71940

GCD(545, 132) = ( 545 x 132 ) / 71940

= 545 / 132

= 545

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 545, 132, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 820, 905
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Given numbers are 545, 132, 689
The greatest common divisor of numbers 545, 132, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 545, 132, 689 is 1.

1. What is the GCD of 545, 132, 689?

GCD of given numbers 545, 132, 689 is 1

2. How to calculate the greatest common divisor of 545, 132, 689?

We can find the highest common divisor of 545, 132, 689 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 545, 132, 689 i.e 1.

3. How can I use the GCD of 545, 132, 689Calculator?

Out the numbers 545, 132, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.