GCD of 438, 252, 174, 570 Calculator

Given Input numbers are 438, 252, 174, 570

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 174 :

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

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

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

GCD of numbers is the greatest common divisor

So, the GCD (438, 252, 174, 570) = 6.

Given numbers are 438, 252, 174, 570

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 174 are 2 x 3 x 29

Prime factors of 570 are 2 x 3 x 5 x 19

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 438, 252, 174, 570 is 6.

Given numbers are 438, 252, 174, 570

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

Apply this formula for all numbers.

Step1:

LCM(438, 252) = 18396

GCD(438, 252) = ( 438 x 252 ) / 18396

= 438 / 252

= 438

Step2:

LCM(6, 174) = 174

GCD(6, 174) = ( 6 x 174 ) / 174

= 6 / 174

= 6

Step3:

LCM(6, 570) = 570

GCD(6, 570) = ( 6 x 570 ) / 570

= 6 / 570

= 6

So, Greatest Common Divisor of 438, 252, 174, 570 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 778, 608, 188
• GCD of 902, 261, 809, 688
• GCD of 935, 313, 949, 709
• GCD of 218, 467, 299, 912
• GCD of 655, 400, 342, 595

Given numbers are 438, 252, 174, 570
The greatest common divisor of numbers 438, 252, 174, 570 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 252, 174, 570 is 6.

1. What is the GCD of 438, 252, 174, 570?

GCD of given numbers 438, 252, 174, 570 is 6

2. How to calculate the greatest common divisor of 438, 252, 174, 570?

We can find the highest common divisor of 438, 252, 174, 570 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 438, 252, 174, 570 i.e 6.

3. How can I use the GCD of 438, 252, 174, 570Calculator?

Out the numbers 438, 252, 174, 570 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.