GCD of 788, 920, 865, 149 Calculator

Given Input numbers are 788, 920, 865, 149

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

Divisors of 788

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

1, 2, 4, 197, 394, 788

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

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 788, 920, 865, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 920, 865, 149 is 1.

Therefore, GCD of numbers 788, 920, 865, 149 is 1

Given Input Data is 788, 920, 865, 149

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 865 is 5 x 173

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(788, 920) = 181240

GCD(788, 920) = ( 788 x 920 ) / 181240

GCD(788, 920) = 724960 / 181240

GCD(788, 920) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 865

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

LCM(4, 865) = 3460

GCD(4, 865) = ( 4 x 865 ) / 3460

GCD(4, 865) = 3460 / 3460

GCD(4, 865) = 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 788, 920, 865, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 593, 747, 247
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• GCD of 144, 305, 809, 837
• GCD of 199, 476, 466, 158

1. What is the GCD of 788, 920, 865, 149?

GCD of 788, 920, 865, 149 is 1

2. Where do I get the detailed procedure to find GCD of 788, 920, 865, 149?

You can find a detailed procedure to find GCD of 788, 920, 865, 149 on our page.

3. How to find GCD of 788, 920, 865, 149 on a calculator?

You can find the GCD of 788, 920, 865, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.