GCD of 513, 456, 418, 516 Calculator

Given Input numbers are 513, 456, 418, 516

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

Divisors of 513 :

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

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (513, 456, 418, 516) = 1.

Given numbers are 513, 456, 418, 516

The list of prime factors of all numbers are

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

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 418 are 2 x 11 x 19

Prime factors of 516 are 2 x 2 x 3 x 43

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

Given numbers are 513, 456, 418, 516

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

Apply this formula for all numbers.

Step1:

LCM(513, 456) = 4104

GCD(513, 456) = ( 513 x 456 ) / 4104

= 513 / 456

= 513

Step2:

LCM(57, 418) = 1254

GCD(57, 418) = ( 57 x 418 ) / 1254

= 57 / 418

= 57

Step3:

LCM(19, 516) = 9804

GCD(19, 516) = ( 19 x 516 ) / 9804

= 19 / 516

= 19

So, Greatest Common Divisor of 513, 456, 418, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 698, 863, 154
• GCD of 926, 512, 979, 530
• GCD of 432, 126, 573, 988
• GCD of 326, 960, 646, 651
• GCD of 412, 201, 889, 370

Given numbers are 513, 456, 418, 516
The greatest common divisor of numbers 513, 456, 418, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 456, 418, 516 is 1.

1. What is the GCD of 513, 456, 418, 516?

GCD of given numbers 513, 456, 418, 516 is 1

2. How to calculate the greatest common divisor of 513, 456, 418, 516?

We can find the highest common divisor of 513, 456, 418, 516 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 513, 456, 418, 516 i.e 1.

3. How can I use the GCD of 513, 456, 418, 516Calculator?

Out the numbers 513, 456, 418, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.