GCD of 828, 357, 773, 970 Calculator

Given Input numbers are 828, 357, 773, 970

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 828, 357, 773, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 357, 773, 970 is 1.

Therefore, GCD of numbers 828, 357, 773, 970 is 1

Given Input Data is 828, 357, 773, 970

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 773 is 773

Prime Factorization of 970 is 2 x 5 x 97

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(828, 357) = 98532

GCD(828, 357) = ( 828 x 357 ) / 98532

GCD(828, 357) = 295596 / 98532

GCD(828, 357) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 773

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

LCM(3, 773) = 2319

GCD(3, 773) = ( 3 x 773 ) / 2319

GCD(3, 773) = 2319 / 2319

GCD(3, 773) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 828, 357, 773, 970 is 1

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1. What is the GCD of 828, 357, 773, 970?

GCD of 828, 357, 773, 970 is 1

2. Where do I get the detailed procedure to find GCD of 828, 357, 773, 970?

You can find a detailed procedure to find GCD of 828, 357, 773, 970 on our page.

3. How to find GCD of 828, 357, 773, 970 on a calculator?

You can find the GCD of 828, 357, 773, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.