GCD of 889, 100, 688, 602 Calculator

Given Input numbers are 889, 100, 688, 602

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 889, 100, 688, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 100, 688, 602 is 1.

Therefore, GCD of numbers 889, 100, 688, 602 is 1

Given Input Data is 889, 100, 688, 602

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 602 is 2 x 7 x 43

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, 100) = 88900

GCD(889, 100) = ( 889 x 100 ) / 88900

GCD(889, 100) = 88900 / 88900

GCD(889, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 602

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

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

GCD(1, 602) = 602 / 602

GCD(1, 602) = 1

GCD of 889, 100, 688, 602 is 1

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1. What is the GCD of 889, 100, 688, 602?

GCD of 889, 100, 688, 602 is 1

2. Where do I get the detailed procedure to find GCD of 889, 100, 688, 602?

You can find a detailed procedure to find GCD of 889, 100, 688, 602 on our page.

3. How to find GCD of 889, 100, 688, 602 on a calculator?

You can find the GCD of 889, 100, 688, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.