GCD of 353, 992, 850, 889 Calculator

Given Input numbers are 353, 992, 850, 889

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 889

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

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 353, 992, 850, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 992, 850, 889 is 1.

Therefore, GCD of numbers 353, 992, 850, 889 is 1

Given Input Data is 353, 992, 850, 889

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

Prime Factorization of 353 is 353

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 889 is 7 x 127

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(353, 992) = 350176

GCD(353, 992) = ( 353 x 992 ) / 350176

GCD(353, 992) = 350176 / 350176

GCD(353, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 353, 992, 850, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 222, 711, 309
• GCD of 838, 217, 104, 743
• GCD of 213, 109, 585, 992
• GCD of 690, 508, 860, 179
• GCD of 426, 916, 196, 828

1. What is the GCD of 353, 992, 850, 889?

GCD of 353, 992, 850, 889 is 1

2. Where do I get the detailed procedure to find GCD of 353, 992, 850, 889?

You can find a detailed procedure to find GCD of 353, 992, 850, 889 on our page.

3. How to find GCD of 353, 992, 850, 889 on a calculator?

You can find the GCD of 353, 992, 850, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.