GCD of 153, 585, 450, 689 Calculator

Given Input numbers are 153, 585, 450, 689

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

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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 (153, 585, 450, 689) = 1.

Given numbers are 153, 585, 450, 689

The list of prime factors of all numbers are

Prime factors of 153 are 3 x 3 x 17

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

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 153, 585, 450, 689

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

Apply this formula for all numbers.

Step1:

LCM(153, 585) = 9945

GCD(153, 585) = ( 153 x 585 ) / 9945

= 153 / 585

= 153

Step2:

LCM(9, 450) = 450

GCD(9, 450) = ( 9 x 450 ) / 450

= 9 / 450

= 9

Step3:

LCM(9, 689) = 6201

GCD(9, 689) = ( 9 x 689 ) / 6201

= 9 / 689

= 9

So, Greatest Common Divisor of 153, 585, 450, 689 is 1

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Given numbers are 153, 585, 450, 689
The greatest common divisor of numbers 153, 585, 450, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 585, 450, 689 is 1.

1. What is the GCD of 153, 585, 450, 689?

GCD of given numbers 153, 585, 450, 689 is 1

2. How to calculate the greatest common divisor of 153, 585, 450, 689?

We can find the highest common divisor of 153, 585, 450, 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 153, 585, 450, 689 i.e 1.

3. How can I use the GCD of 153, 585, 450, 689Calculator?

Out the numbers 153, 585, 450, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.