GCD of 357, 214, 509, 504 Calculator

Given Input numbers are 357, 214, 509, 504

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

Divisors of 357 :

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

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

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

GCD of numbers is the greatest common divisor

So, the GCD (357, 214, 509, 504) = 1.

Given numbers are 357, 214, 509, 504

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 214 are 2 x 107

Prime factors of 509 are 509

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

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

Given numbers are 357, 214, 509, 504

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

Apply this formula for all numbers.

Step1:

LCM(357, 214) = 76398

GCD(357, 214) = ( 357 x 214 ) / 76398

= 357 / 214

= 357

Step2:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

Step3:

LCM(1, 504) = 504

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

= 1 / 504

= 1

So, Greatest Common Divisor of 357, 214, 509, 504 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 873, 671, 400
• GCD of 299, 854, 492, 437
• GCD of 925, 778, 855, 678
• GCD of 704, 918, 135, 491
• GCD of 701, 126, 754, 687

Given numbers are 357, 214, 509, 504
The greatest common divisor of numbers 357, 214, 509, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 214, 509, 504 is 1.

1. What is the GCD of 357, 214, 509, 504?

GCD of given numbers 357, 214, 509, 504 is 1

2. How to calculate the greatest common divisor of 357, 214, 509, 504?

We can find the highest common divisor of 357, 214, 509, 504 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 357, 214, 509, 504 i.e 1.

3. How can I use the GCD of 357, 214, 509, 504Calculator?

Out the numbers 357, 214, 509, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.