GCD of 929, 238, 20, 153 Calculator

Given Input numbers are 929, 238, 20, 153

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

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 929, 238, 20, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 929, 238, 20, 153 is 1.

Therefore, GCD of numbers 929, 238, 20, 153 is 1

Given Input Data is 929, 238, 20, 153

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

Prime Factorization of 929 is 929

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 153 is 3 x 3 x 17

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(929, 238) = 221102

GCD(929, 238) = ( 929 x 238 ) / 221102

GCD(929, 238) = 221102 / 221102

GCD(929, 238) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 929, 238, 20, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 588, 36, 105
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• GCD of 100, 221, 31, 518
• GCD of 402, 840, 12, 713

1. What is the GCD of 929, 238, 20, 153?

GCD of 929, 238, 20, 153 is 1

2. Where do I get the detailed procedure to find GCD of 929, 238, 20, 153?

You can find a detailed procedure to find GCD of 929, 238, 20, 153 on our page.

3. How to find GCD of 929, 238, 20, 153 on a calculator?

You can find the GCD of 929, 238, 20, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.