GCD of 972, 222, 712, 384 Calculator

Given Input numbers are 972, 222, 712, 384

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 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (972, 222, 712, 384) = 2.

Given numbers are 972, 222, 712, 384

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 222 are 2 x 3 x 37

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 972, 222, 712, 384 is 2.

Given numbers are 972, 222, 712, 384

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

Apply this formula for all numbers.

Step1:

LCM(972, 222) = 35964

GCD(972, 222) = ( 972 x 222 ) / 35964

= 972 / 222

= 972

Step2:

LCM(6, 712) = 2136

GCD(6, 712) = ( 6 x 712 ) / 2136

= 6 / 712

= 6

Step3:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

So, Greatest Common Divisor of 972, 222, 712, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 755, 905, 581
• GCD of 277, 566, 813, 189
• GCD of 928, 584, 143, 820
• GCD of 506, 572, 300, 634
• GCD of 763, 294, 113, 584

Given numbers are 972, 222, 712, 384
The greatest common divisor of numbers 972, 222, 712, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 222, 712, 384 is 2.

1. What is the GCD of 972, 222, 712, 384?

GCD of given numbers 972, 222, 712, 384 is 2

2. How to calculate the greatest common divisor of 972, 222, 712, 384?

We can find the highest common divisor of 972, 222, 712, 384 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, 222, 712, 384 i.e 2.

3. How can I use the GCD of 972, 222, 712, 384Calculator?

Out the numbers 972, 222, 712, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.