GCD of 234, 692, 901, 149 Calculator

Given Input numbers are 234, 692, 901, 149

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 234, 692, 901, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 692, 901, 149 is 1.

Therefore, GCD of numbers 234, 692, 901, 149 is 1

Given Input Data is 234, 692, 901, 149

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 901 is 17 x 53

Prime Factorization of 149 is 149

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(234, 692) = 80964

GCD(234, 692) = ( 234 x 692 ) / 80964

GCD(234, 692) = 161928 / 80964

GCD(234, 692) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 901

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

LCM(2, 901) = 1802

GCD(2, 901) = ( 2 x 901 ) / 1802

GCD(2, 901) = 1802 / 1802

GCD(2, 901) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 234, 692, 901, 149 is 1

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1. What is the GCD of 234, 692, 901, 149?

GCD of 234, 692, 901, 149 is 1

2. Where do I get the detailed procedure to find GCD of 234, 692, 901, 149?

You can find a detailed procedure to find GCD of 234, 692, 901, 149 on our page.

3. How to find GCD of 234, 692, 901, 149 on a calculator?

You can find the GCD of 234, 692, 901, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.