GCD of 589, 506, 700, 172 Calculator

Given Input numbers are 589, 506, 700, 172

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

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (589, 506, 700, 172) = 1.

Given numbers are 589, 506, 700, 172

The list of prime factors of all numbers are

Prime factors of 589 are 19 x 31

Prime factors of 506 are 2 x 11 x 23

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 589, 506, 700, 172

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

Apply this formula for all numbers.

Step1:

LCM(589, 506) = 298034

GCD(589, 506) = ( 589 x 506 ) / 298034

= 589 / 506

= 589

Step2:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 589, 506, 700, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 110, 202, 695
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• GCD of 926, 954, 359, 495
• GCD of 431, 345, 480, 575
• GCD of 662, 389, 333, 325

Given numbers are 589, 506, 700, 172
The greatest common divisor of numbers 589, 506, 700, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 589, 506, 700, 172 is 1.

1. What is the GCD of 589, 506, 700, 172?

GCD of given numbers 589, 506, 700, 172 is 1

2. How to calculate the greatest common divisor of 589, 506, 700, 172?

We can find the highest common divisor of 589, 506, 700, 172 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 589, 506, 700, 172 i.e 1.

3. How can I use the GCD of 589, 506, 700, 172Calculator?

Out the numbers 589, 506, 700, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.