GCD of 972, 192, 564, 418 Calculator

Given Input numbers are 972, 192, 564, 418

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

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 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

GCD of numbers is the greatest common divisor

So, the GCD (972, 192, 564, 418) = 2.

Given numbers are 972, 192, 564, 418

The list of prime factors of all numbers are

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

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime factors of 418 are 2 x 11 x 19

The highest common occurrence is 2¹

Therefore, GCD of 972, 192, 564, 418 is 2.

Given numbers are 972, 192, 564, 418

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

Apply this formula for all numbers.

Step1:

LCM(972, 192) = 15552

GCD(972, 192) = ( 972 x 192 ) / 15552

= 972 / 192

= 972

Step2:

LCM(12, 564) = 564

GCD(12, 564) = ( 12 x 564 ) / 564

= 12 / 564

= 12

Step3:

LCM(12, 418) = 2508

GCD(12, 418) = ( 12 x 418 ) / 2508

= 12 / 418

= 12

So, Greatest Common Divisor of 972, 192, 564, 418 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 102, 527, 457
• GCD of 801, 639, 438, 204
• GCD of 848, 298, 256, 706
• GCD of 457, 844, 172, 630
• GCD of 681, 697, 106, 935

Given numbers are 972, 192, 564, 418
The greatest common divisor of numbers 972, 192, 564, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 192, 564, 418 is 2.

1. What is the GCD of 972, 192, 564, 418?

GCD of given numbers 972, 192, 564, 418 is 2

2. How to calculate the greatest common divisor of 972, 192, 564, 418?

We can find the highest common divisor of 972, 192, 564, 418 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 972, 192, 564, 418 i.e 2.

3. How can I use the GCD of 972, 192, 564, 418Calculator?

Out the numbers 972, 192, 564, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.