GCD of 149, 836, 800, 235 Calculator

Given Input numbers are 149, 836, 800, 235

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

Divisors of 149

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

1, 149

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 149, 836, 800, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 836, 800, 235 is 1.

Therefore, GCD of numbers 149, 836, 800, 235 is 1

Given Input Data is 149, 836, 800, 235

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

Prime Factorization of 149 is 149

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 235 is 5 x 47

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(149, 836) = 124564

GCD(149, 836) = ( 149 x 836 ) / 124564

GCD(149, 836) = 124564 / 124564

GCD(149, 836) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

GCD of 149, 836, 800, 235 is 1

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1. What is the GCD of 149, 836, 800, 235?

GCD of 149, 836, 800, 235 is 1

2. Where do I get the detailed procedure to find GCD of 149, 836, 800, 235?

You can find a detailed procedure to find GCD of 149, 836, 800, 235 on our page.

3. How to find GCD of 149, 836, 800, 235 on a calculator?

You can find the GCD of 149, 836, 800, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.