GCD of 889, 457, 600, 971 Calculator

Given Input numbers are 889, 457, 600, 971

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

Divisors of 889

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

1, 7, 127, 889

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 889, 457, 600, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 457, 600, 971 is 1.

Therefore, GCD of numbers 889, 457, 600, 971 is 1

Given Input Data is 889, 457, 600, 971

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 457 is 457

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 971 is 971

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(889, 457) = 406273

GCD(889, 457) = ( 889 x 457 ) / 406273

GCD(889, 457) = 406273 / 406273

GCD(889, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 889, 457, 600, 971 is 1

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1. What is the GCD of 889, 457, 600, 971?

GCD of 889, 457, 600, 971 is 1

2. Where do I get the detailed procedure to find GCD of 889, 457, 600, 971?

You can find a detailed procedure to find GCD of 889, 457, 600, 971 on our page.

3. How to find GCD of 889, 457, 600, 971 on a calculator?

You can find the GCD of 889, 457, 600, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.