GCD of 38, 892, 305, 786 Calculator

Given Input numbers are 38, 892, 305, 786

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 786

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

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

Greatest Common Divisior

We found the divisors of 38, 892, 305, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 892, 305, 786 is 1.

Therefore, GCD of numbers 38, 892, 305, 786 is 1

Given Input Data is 38, 892, 305, 786

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 305 is 5 x 61

Prime Factorization of 786 is 2 x 3 x 131

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(38, 892) = 16948

GCD(38, 892) = ( 38 x 892 ) / 16948

GCD(38, 892) = 33896 / 16948

GCD(38, 892) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 305

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

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

GCD(2, 305) = 610 / 610

GCD(2, 305) = 1

Step3:

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

GCD of 38, 892, 305, 786 is 1

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• GCD of 34, 719, 601, 249
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• GCD of 11, 942, 225, 695

1. What is the GCD of 38, 892, 305, 786?

GCD of 38, 892, 305, 786 is 1

2. Where do I get the detailed procedure to find GCD of 38, 892, 305, 786?

You can find a detailed procedure to find GCD of 38, 892, 305, 786 on our page.

3. How to find GCD of 38, 892, 305, 786 on a calculator?

You can find the GCD of 38, 892, 305, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.