GCD of 146, 708, 923, 788 Calculator

Given Input numbers are 146, 708, 923, 788

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 146, 708, 923, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 708, 923, 788 is 1.

Therefore, GCD of numbers 146, 708, 923, 788 is 1

Given Input Data is 146, 708, 923, 788

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 923 is 13 x 71

Prime Factorization of 788 is 2 x 2 x 197

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(146, 708) = 51684

GCD(146, 708) = ( 146 x 708 ) / 51684

GCD(146, 708) = 103368 / 51684

GCD(146, 708) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 923

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

LCM(2, 923) = 1846

GCD(2, 923) = ( 2 x 923 ) / 1846

GCD(2, 923) = 1846 / 1846

GCD(2, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

GCD of 146, 708, 923, 788 is 1

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1. What is the GCD of 146, 708, 923, 788?

GCD of 146, 708, 923, 788 is 1

2. Where do I get the detailed procedure to find GCD of 146, 708, 923, 788?

You can find a detailed procedure to find GCD of 146, 708, 923, 788 on our page.

3. How to find GCD of 146, 708, 923, 788 on a calculator?

You can find the GCD of 146, 708, 923, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.