GCD of 510, 693, 311, 438 Calculator

Given Input numbers are 510, 693, 311, 438

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

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (510, 693, 311, 438) = 1.

Given numbers are 510, 693, 311, 438

The list of prime factors of all numbers are

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 311 are 311

Prime factors of 438 are 2 x 3 x 73

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

Given numbers are 510, 693, 311, 438

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

Apply this formula for all numbers.

Step1:

LCM(510, 693) = 117810

GCD(510, 693) = ( 510 x 693 ) / 117810

= 510 / 693

= 510

Step2:

LCM(3, 311) = 933

GCD(3, 311) = ( 3 x 311 ) / 933

= 3 / 311

= 3

Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 510, 693, 311, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 178, 451, 336
• GCD of 439, 362, 579, 390
• GCD of 113, 439, 953, 830
• GCD of 730, 673, 830, 732
• GCD of 657, 277, 638, 419

Given numbers are 510, 693, 311, 438
The greatest common divisor of numbers 510, 693, 311, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 693, 311, 438 is 1.

1. What is the GCD of 510, 693, 311, 438?

GCD of given numbers 510, 693, 311, 438 is 1

2. How to calculate the greatest common divisor of 510, 693, 311, 438?

We can find the highest common divisor of 510, 693, 311, 438 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 510, 693, 311, 438 i.e 1.

3. How can I use the GCD of 510, 693, 311, 438Calculator?

Out the numbers 510, 693, 311, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.