GCD of 504, 357, 826, 638 Calculator

Given Input numbers are 504, 357, 826, 638

In the factoring method, we have to find the divisors of all numbers

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

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 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (504, 357, 826, 638) = 1.

Given numbers are 504, 357, 826, 638

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 357 are 3 x 7 x 17

Prime factors of 826 are 2 x 7 x 59

Prime factors of 638 are 2 x 11 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 504, 357, 826, 638

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(504, 357) = 8568

GCD(504, 357) = ( 504 x 357 ) / 8568

= 504 / 357

= 504

Step2:

LCM(21, 826) = 2478

GCD(21, 826) = ( 21 x 826 ) / 2478

= 21 / 826

= 21

Step3:

LCM(7, 638) = 4466

GCD(7, 638) = ( 7 x 638 ) / 4466

= 7 / 638

= 7

So, Greatest Common Divisor of 504, 357, 826, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 705, 817, 740
• GCD of 970, 825, 574, 264
• GCD of 307, 866, 103, 907
• GCD of 873, 285, 906, 366
• GCD of 542, 334, 729, 278

Given numbers are 504, 357, 826, 638
The greatest common divisor of numbers 504, 357, 826, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 357, 826, 638 is 1.

1. What is the GCD of 504, 357, 826, 638?

GCD of given numbers 504, 357, 826, 638 is 1

2. How to calculate the greatest common divisor of 504, 357, 826, 638?

We can find the highest common divisor of 504, 357, 826, 638 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 504, 357, 826, 638 i.e 1.

3. How can I use the GCD of 504, 357, 826, 638Calculator?

Out the numbers 504, 357, 826, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.