GCD of 328, 692, 286, 972 Calculator

Given Input numbers are 328, 692, 286, 972

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

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

GCD of numbers is the greatest common divisor

So, the GCD (328, 692, 286, 972) = 2.

Given numbers are 328, 692, 286, 972

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 692 are 2 x 2 x 173

Prime factors of 286 are 2 x 11 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 328, 692, 286, 972 is 2.

Given numbers are 328, 692, 286, 972

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

Apply this formula for all numbers.

Step1:

LCM(328, 692) = 56744

GCD(328, 692) = ( 328 x 692 ) / 56744

= 328 / 692

= 328

Step2:

LCM(4, 286) = 572

GCD(4, 286) = ( 4 x 286 ) / 572

= 4 / 286

= 4

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 328, 692, 286, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 100, 530, 837
• GCD of 910, 564, 550, 874
• GCD of 646, 795, 475, 960
• GCD of 852, 841, 760, 765
• GCD of 845, 884, 974, 313

Given numbers are 328, 692, 286, 972
The greatest common divisor of numbers 328, 692, 286, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 692, 286, 972 is 2.

1. What is the GCD of 328, 692, 286, 972?

GCD of given numbers 328, 692, 286, 972 is 2

2. How to calculate the greatest common divisor of 328, 692, 286, 972?

We can find the highest common divisor of 328, 692, 286, 972 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 328, 692, 286, 972 i.e 2.

3. How can I use the GCD of 328, 692, 286, 972Calculator?

Out the numbers 328, 692, 286, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.