GCD of 564, 174, 538, 825 Calculator

Given Input numbers are 564, 174, 538, 825

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (564, 174, 538, 825) = 1.

Given numbers are 564, 174, 538, 825

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 174 are 2 x 3 x 29

Prime factors of 538 are 2 x 269

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 564, 174, 538, 825

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

Apply this formula for all numbers.

Step1:

LCM(564, 174) = 16356

GCD(564, 174) = ( 564 x 174 ) / 16356

= 564 / 174

= 564

Step2:

LCM(6, 538) = 1614

GCD(6, 538) = ( 6 x 538 ) / 1614

= 6 / 538

= 6

Step3:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

So, Greatest Common Divisor of 564, 174, 538, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 126, 501, 180
• GCD of 163, 560, 862, 181
• GCD of 142, 614, 470, 185
• GCD of 151, 373, 963, 158
• GCD of 360, 925, 909, 187

Given numbers are 564, 174, 538, 825
The greatest common divisor of numbers 564, 174, 538, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 174, 538, 825 is 1.

1. What is the GCD of 564, 174, 538, 825?

GCD of given numbers 564, 174, 538, 825 is 1

2. How to calculate the greatest common divisor of 564, 174, 538, 825?

We can find the highest common divisor of 564, 174, 538, 825 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 564, 174, 538, 825 i.e 1.

3. How can I use the GCD of 564, 174, 538, 825Calculator?

Out the numbers 564, 174, 538, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.