GCD of 592, 972, 660, 354 Calculator

Given Input numbers are 592, 972, 660, 354

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 592, 972, 660, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 972, 660, 354 is 2.

Therefore, GCD of numbers 592, 972, 660, 354 is 2

Given Input Data is 592, 972, 660, 354

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 354 is 2 x 3 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(592, 972) = 143856

GCD(592, 972) = ( 592 x 972 ) / 143856

GCD(592, 972) = 575424 / 143856

GCD(592, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 660

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

LCM(4, 660) = 660

GCD(4, 660) = ( 4 x 660 ) / 660

GCD(4, 660) = 2640 / 660

GCD(4, 660) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 354

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

LCM(4, 354) = 708

GCD(4, 354) = ( 4 x 354 ) / 708

GCD(4, 354) = 1416 / 708

GCD(4, 354) = 2

GCD of 592, 972, 660, 354 is 2

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1. What is the GCD of 592, 972, 660, 354?

GCD of 592, 972, 660, 354 is 2

2. Where do I get the detailed procedure to find GCD of 592, 972, 660, 354?

You can find a detailed procedure to find GCD of 592, 972, 660, 354 on our page.

3. How to find GCD of 592, 972, 660, 354 on a calculator?

You can find the GCD of 592, 972, 660, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.