GCD of 972, 132, 59, 338 Calculator

Given Input numbers are 972, 132, 59, 338

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

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 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 972, 132, 59, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 132, 59, 338 is 1.

Therefore, GCD of numbers 972, 132, 59, 338 is 1

Given Input Data is 972, 132, 59, 338

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

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 59 is 59

Prime Factorization of 338 is 2 x 13 x 13

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

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(972, 132) = 10692

GCD(972, 132) = ( 972 x 132 ) / 10692

GCD(972, 132) = 128304 / 10692

GCD(972, 132) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 59

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

LCM(12, 59) = 708

GCD(12, 59) = ( 12 x 59 ) / 708

GCD(12, 59) = 708 / 708

GCD(12, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 972, 132, 59, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 292, 910, 13, 772
• GCD of 258, 631, 15, 280
• GCD of 888, 167, 29, 134
• GCD of 216, 528, 33, 223
• GCD of 296, 619, 27, 984

1. What is the GCD of 972, 132, 59, 338?

GCD of 972, 132, 59, 338 is 1

2. Where do I get the detailed procedure to find GCD of 972, 132, 59, 338?

You can find a detailed procedure to find GCD of 972, 132, 59, 338 on our page.

3. How to find GCD of 972, 132, 59, 338 on a calculator?

You can find the GCD of 972, 132, 59, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.