GCD of 438, 972, 558, 375 Calculator

Given Input numbers are 438, 972, 558, 375

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

GCD of numbers is the greatest common divisor

So, the GCD (438, 972, 558, 375) = 3.

Given numbers are 438, 972, 558, 375

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 375 are 3 x 5 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 438, 972, 558, 375 is 3.

Given numbers are 438, 972, 558, 375

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

Apply this formula for all numbers.

Step1:

LCM(438, 972) = 70956

GCD(438, 972) = ( 438 x 972 ) / 70956

= 438 / 972

= 438

Step2:

LCM(6, 558) = 558

GCD(6, 558) = ( 6 x 558 ) / 558

= 6 / 558

= 6

Step3:

LCM(6, 375) = 750

GCD(6, 375) = ( 6 x 375 ) / 750

= 6 / 375

= 6

So, Greatest Common Divisor of 438, 972, 558, 375 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 497, 501, 320
• GCD of 884, 773, 887, 932
• GCD of 571, 985, 378, 114
• GCD of 775, 730, 920, 746
• GCD of 278, 193, 334, 799

Given numbers are 438, 972, 558, 375
The greatest common divisor of numbers 438, 972, 558, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 972, 558, 375 is 3.

1. What is the GCD of 438, 972, 558, 375?

GCD of given numbers 438, 972, 558, 375 is 3

2. How to calculate the greatest common divisor of 438, 972, 558, 375?

We can find the highest common divisor of 438, 972, 558, 375 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, 972, 558, 375 i.e 3.

3. How can I use the GCD of 438, 972, 558, 375Calculator?

Out the numbers 438, 972, 558, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.