GCD of 800, 661, 786, 136 Calculator

Given Input numbers are 800, 661, 786, 136

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

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 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 800, 661, 786, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 661, 786, 136 is 1.

Therefore, GCD of numbers 800, 661, 786, 136 is 1

Given Input Data is 800, 661, 786, 136

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

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

Prime Factorization of 661 is 661

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 136 is 2 x 2 x 2 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(800, 661) = 528800

GCD(800, 661) = ( 800 x 661 ) / 528800

GCD(800, 661) = 528800 / 528800

GCD(800, 661) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 800, 661, 786, 136 is 1

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1. What is the GCD of 800, 661, 786, 136?

GCD of 800, 661, 786, 136 is 1

2. Where do I get the detailed procedure to find GCD of 800, 661, 786, 136?

You can find a detailed procedure to find GCD of 800, 661, 786, 136 on our page.

3. How to find GCD of 800, 661, 786, 136 on a calculator?

You can find the GCD of 800, 661, 786, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.