GCD of 428, 521, 504, 676 Calculator

Given Input numbers are 428, 521, 504, 676

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 428, 521, 504, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 521, 504, 676 is 1.

Therefore, GCD of numbers 428, 521, 504, 676 is 1

Given Input Data is 428, 521, 504, 676

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 521 is 521

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(428, 521) = 222988

GCD(428, 521) = ( 428 x 521 ) / 222988

GCD(428, 521) = 222988 / 222988

GCD(428, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 428, 521, 504, 676 is 1

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1. What is the GCD of 428, 521, 504, 676?

GCD of 428, 521, 504, 676 is 1

2. Where do I get the detailed procedure to find GCD of 428, 521, 504, 676?

You can find a detailed procedure to find GCD of 428, 521, 504, 676 on our page.

3. How to find GCD of 428, 521, 504, 676 on a calculator?

You can find the GCD of 428, 521, 504, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.