GCD of 854, 858, 61, 804 Calculator

Given Input numbers are 854, 858, 61, 804

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 854, 858, 61, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 858, 61, 804 is 1.

Therefore, GCD of numbers 854, 858, 61, 804 is 1

Given Input Data is 854, 858, 61, 804

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 61 is 61

Prime Factorization of 804 is 2 x 2 x 3 x 67

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(854, 858) = 366366

GCD(854, 858) = ( 854 x 858 ) / 366366

GCD(854, 858) = 732732 / 366366

GCD(854, 858) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

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

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

GCD of 854, 858, 61, 804 is 1

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1. What is the GCD of 854, 858, 61, 804?

GCD of 854, 858, 61, 804 is 1

2. Where do I get the detailed procedure to find GCD of 854, 858, 61, 804?

You can find a detailed procedure to find GCD of 854, 858, 61, 804 on our page.

3. How to find GCD of 854, 858, 61, 804 on a calculator?

You can find the GCD of 854, 858, 61, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.