GCD of 90, 925, 826, 688 Calculator

Given Input numbers are 90, 925, 826, 688

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

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

Greatest Common Divisior

We found the divisors of 90, 925, 826, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 925, 826, 688 is 1.

Therefore, GCD of numbers 90, 925, 826, 688 is 1

Given Input Data is 90, 925, 826, 688

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 688 is 2 x 2 x 2 x 2 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(90, 925) = 16650

GCD(90, 925) = ( 90 x 925 ) / 16650

GCD(90, 925) = 83250 / 16650

GCD(90, 925) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 826

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

LCM(5, 826) = 4130

GCD(5, 826) = ( 5 x 826 ) / 4130

GCD(5, 826) = 4130 / 4130

GCD(5, 826) = 1

Step3:

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

GCD of 90, 925, 826, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 923, 585, 514
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• GCD of 86, 460, 964, 981

1. What is the GCD of 90, 925, 826, 688?

GCD of 90, 925, 826, 688 is 1

2. Where do I get the detailed procedure to find GCD of 90, 925, 826, 688?

You can find a detailed procedure to find GCD of 90, 925, 826, 688 on our page.

3. How to find GCD of 90, 925, 826, 688 on a calculator?

You can find the GCD of 90, 925, 826, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.