GCD of 945, 204, 513, 509 Calculator

Given Input numbers are 945, 204, 513, 509

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 509 :

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

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (945, 204, 513, 509) = 1.

Given numbers are 945, 204, 513, 509

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 509 are 509

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

Given numbers are 945, 204, 513, 509

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

Apply this formula for all numbers.

Step1:

LCM(945, 204) = 64260

GCD(945, 204) = ( 945 x 204 ) / 64260

= 945 / 204

= 945

Step2:

LCM(3, 513) = 513

GCD(3, 513) = ( 3 x 513 ) / 513

= 3 / 513

= 3

Step3:

LCM(3, 509) = 1527

GCD(3, 509) = ( 3 x 509 ) / 1527

= 3 / 509

= 3

So, Greatest Common Divisor of 945, 204, 513, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 204, 329, 264
• GCD of 867, 802, 685, 853
• GCD of 655, 202, 596, 992
• GCD of 519, 503, 810, 348
• GCD of 318, 251, 201, 246

Given numbers are 945, 204, 513, 509
The greatest common divisor of numbers 945, 204, 513, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 204, 513, 509 is 1.

1. What is the GCD of 945, 204, 513, 509?

GCD of given numbers 945, 204, 513, 509 is 1

2. How to calculate the greatest common divisor of 945, 204, 513, 509?

We can find the highest common divisor of 945, 204, 513, 509 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 945, 204, 513, 509 i.e 1.

3. How can I use the GCD of 945, 204, 513, 509Calculator?

Out the numbers 945, 204, 513, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.