GCD of 689, 361, 428, 600 Calculator

Given Input numbers are 689, 361, 428, 600

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 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (689, 361, 428, 600) = 1.

Given numbers are 689, 361, 428, 600

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 361 are 19 x 19

Prime factors of 428 are 2 x 2 x 107

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Given numbers are 689, 361, 428, 600

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

Apply this formula for all numbers.

Step1:

LCM(689, 361) = 248729

GCD(689, 361) = ( 689 x 361 ) / 248729

= 689 / 361

= 689

Step2:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 689, 361, 428, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 988, 713, 696
• GCD of 974, 372, 128, 536
• GCD of 596, 740, 820, 453
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• GCD of 165, 123, 375, 237

Given numbers are 689, 361, 428, 600
The greatest common divisor of numbers 689, 361, 428, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 361, 428, 600 is 1.

1. What is the GCD of 689, 361, 428, 600?

GCD of given numbers 689, 361, 428, 600 is 1

2. How to calculate the greatest common divisor of 689, 361, 428, 600?

We can find the highest common divisor of 689, 361, 428, 600 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, 361, 428, 600 i.e 1.

3. How can I use the GCD of 689, 361, 428, 600Calculator?

Out the numbers 689, 361, 428, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.