GCD of 677, 900, 524, 123 Calculator

Given Input numbers are 677, 900, 524, 123

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 677, 900, 524, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 900, 524, 123 is 1.

Therefore, GCD of numbers 677, 900, 524, 123 is 1

Given Input Data is 677, 900, 524, 123

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

Prime Factorization of 677 is 677

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 123 is 3 x 41

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(677, 900) = 609300

GCD(677, 900) = ( 677 x 900 ) / 609300

GCD(677, 900) = 609300 / 609300

GCD(677, 900) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 677, 900, 524, 123 is 1

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1. What is the GCD of 677, 900, 524, 123?

GCD of 677, 900, 524, 123 is 1

2. Where do I get the detailed procedure to find GCD of 677, 900, 524, 123?

You can find a detailed procedure to find GCD of 677, 900, 524, 123 on our page.

3. How to find GCD of 677, 900, 524, 123 on a calculator?

You can find the GCD of 677, 900, 524, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.