GCD of 154, 133, 972, 223 Calculator

Given Input numbers are 154, 133, 972, 223

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

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 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 154, 133, 972, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 133, 972, 223 is 1.

Therefore, GCD of numbers 154, 133, 972, 223 is 1

Given Input Data is 154, 133, 972, 223

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 133 is 7 x 19

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

Prime Factorization of 223 is 223

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(154, 133) = 2926

GCD(154, 133) = ( 154 x 133 ) / 2926

GCD(154, 133) = 20482 / 2926

GCD(154, 133) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 972

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

LCM(7, 972) = 6804

GCD(7, 972) = ( 7 x 972 ) / 6804

GCD(7, 972) = 6804 / 6804

GCD(7, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

GCD of 154, 133, 972, 223 is 1

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• GCD of 467, 383, 817, 676
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1. What is the GCD of 154, 133, 972, 223?

GCD of 154, 133, 972, 223 is 1

2. Where do I get the detailed procedure to find GCD of 154, 133, 972, 223?

You can find a detailed procedure to find GCD of 154, 133, 972, 223 on our page.

3. How to find GCD of 154, 133, 972, 223 on a calculator?

You can find the GCD of 154, 133, 972, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.