GCD of 339, 560, 689, 600 Calculator

Given Input numbers are 339, 560, 689, 600

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

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 689 :

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

1, 13, 53, 689

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 (339, 560, 689, 600) = 1.

Given numbers are 339, 560, 689, 600

The list of prime factors of all numbers are

Prime factors of 339 are 3 x 113

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 689 are 13 x 53

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 339, 560, 689, 600

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

Apply this formula for all numbers.

Step1:

LCM(339, 560) = 189840

GCD(339, 560) = ( 339 x 560 ) / 189840

= 339 / 560

= 339

Step2:

LCM(1, 689) = 689

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

= 1 / 689

= 1

Step3:

LCM(1, 600) = 600

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

= 1 / 600

= 1

So, Greatest Common Divisor of 339, 560, 689, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 889, 684, 322
• GCD of 169, 100, 887, 281
• GCD of 883, 832, 640, 409
• GCD of 747, 961, 513, 649
• GCD of 412, 434, 792, 760

Given numbers are 339, 560, 689, 600
The greatest common divisor of numbers 339, 560, 689, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 560, 689, 600 is 1.

1. What is the GCD of 339, 560, 689, 600?

GCD of given numbers 339, 560, 689, 600 is 1

2. How to calculate the greatest common divisor of 339, 560, 689, 600?

We can find the highest common divisor of 339, 560, 689, 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 339, 560, 689, 600 i.e 1.

3. How can I use the GCD of 339, 560, 689, 600Calculator?

Out the numbers 339, 560, 689, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.