GCD of 438, 972, 315, 449 Calculator

Given Input numbers are 438, 972, 315, 449

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 449 :

The positive integer divisors of 449 that completely divides 449 are.

1, 449

GCD of numbers is the greatest common divisor

So, the GCD (438, 972, 315, 449) = 1.

Given numbers are 438, 972, 315, 449

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 315 are 3 x 3 x 5 x 7

Prime factors of 449 are 449

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

Given numbers are 438, 972, 315, 449

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, 315) = 630

GCD(6, 315) = ( 6 x 315 ) / 630

= 6 / 315

= 6

Step3:

LCM(3, 449) = 1347

GCD(3, 449) = ( 3 x 449 ) / 1347

= 3 / 449

= 3

So, Greatest Common Divisor of 438, 972, 315, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 795, 709, 757
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Given numbers are 438, 972, 315, 449
The greatest common divisor of numbers 438, 972, 315, 449 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 972, 315, 449 is 1.

1. What is the GCD of 438, 972, 315, 449?

GCD of given numbers 438, 972, 315, 449 is 1

2. How to calculate the greatest common divisor of 438, 972, 315, 449?

We can find the highest common divisor of 438, 972, 315, 449 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, 315, 449 i.e 1.

3. How can I use the GCD of 438, 972, 315, 449Calculator?

Out the numbers 438, 972, 315, 449 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.