GCD of 509, 692, 337, 342 Calculator

Given Input numbers are 509, 692, 337, 342

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

Divisors of 509 :

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

1, 509

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 337 :

The positive integer divisors of 337 that completely divides 337 are.

1, 337

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (509, 692, 337, 342) = 1.

Given numbers are 509, 692, 337, 342

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 692 are 2 x 2 x 173

Prime factors of 337 are 337

Prime factors of 342 are 2 x 3 x 3 x 19

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

Given numbers are 509, 692, 337, 342

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

Apply this formula for all numbers.

Step1:

LCM(509, 692) = 352228

GCD(509, 692) = ( 509 x 692 ) / 352228

= 509 / 692

= 509

Step2:

LCM(1, 337) = 337

GCD(1, 337) = ( 1 x 337 ) / 337

= 1 / 337

= 1

Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

So, Greatest Common Divisor of 509, 692, 337, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 899, 666, 467
• GCD of 753, 160, 325, 852
• GCD of 742, 963, 422, 149
• GCD of 454, 155, 442, 391
• GCD of 738, 883, 222, 529

Given numbers are 509, 692, 337, 342
The greatest common divisor of numbers 509, 692, 337, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 692, 337, 342 is 1.

1. What is the GCD of 509, 692, 337, 342?

GCD of given numbers 509, 692, 337, 342 is 1

2. How to calculate the greatest common divisor of 509, 692, 337, 342?

We can find the highest common divisor of 509, 692, 337, 342 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 509, 692, 337, 342 i.e 1.

3. How can I use the GCD of 509, 692, 337, 342Calculator?

Out the numbers 509, 692, 337, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.