GCD of 357, 975, 889, 828 Calculator

Given Input numbers are 357, 975, 889, 828

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

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 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

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

Greatest Common Divisior

We found the divisors of 357, 975, 889, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 975, 889, 828 is 1.

Therefore, GCD of numbers 357, 975, 889, 828 is 1

Given Input Data is 357, 975, 889, 828

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 889 is 7 x 127

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

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(357, 975) = 116025

GCD(357, 975) = ( 357 x 975 ) / 116025

GCD(357, 975) = 348075 / 116025

GCD(357, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 889

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

LCM(3, 889) = 2667

GCD(3, 889) = ( 3 x 889 ) / 2667

GCD(3, 889) = 2667 / 2667

GCD(3, 889) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 357, 975, 889, 828 is 1

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1. What is the GCD of 357, 975, 889, 828?

GCD of 357, 975, 889, 828 is 1

2. Where do I get the detailed procedure to find GCD of 357, 975, 889, 828?

You can find a detailed procedure to find GCD of 357, 975, 889, 828 on our page.

3. How to find GCD of 357, 975, 889, 828 on a calculator?

You can find the GCD of 357, 975, 889, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.