GCD of 296, 827, 74, 858 Calculator

Given Input numbers are 296, 827, 74, 858

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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

Greatest Common Divisior

We found the divisors of 296, 827, 74, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 827, 74, 858 is 1.

Therefore, GCD of numbers 296, 827, 74, 858 is 1

Given Input Data is 296, 827, 74, 858

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 827 is 827

Prime Factorization of 74 is 2 x 37

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

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(296, 827) = 244792

GCD(296, 827) = ( 296 x 827 ) / 244792

GCD(296, 827) = 244792 / 244792

GCD(296, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

GCD of 296, 827, 74, 858 is 1

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1. What is the GCD of 296, 827, 74, 858?

GCD of 296, 827, 74, 858 is 1

2. Where do I get the detailed procedure to find GCD of 296, 827, 74, 858?

You can find a detailed procedure to find GCD of 296, 827, 74, 858 on our page.

3. How to find GCD of 296, 827, 74, 858 on a calculator?

You can find the GCD of 296, 827, 74, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.