GCD of 513, 369, 582, 261 Calculator

Given Input numbers are 513, 369, 582, 261

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (513, 369, 582, 261) = 3.

Given numbers are 513, 369, 582, 261

The list of prime factors of all numbers are

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

Prime factors of 369 are 3 x 3 x 41

Prime factors of 582 are 2 x 3 x 97

Prime factors of 261 are 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 513, 369, 582, 261 is 3.

Given numbers are 513, 369, 582, 261

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

Apply this formula for all numbers.

Step1:

LCM(513, 369) = 21033

GCD(513, 369) = ( 513 x 369 ) / 21033

= 513 / 369

= 513

Step2:

LCM(9, 582) = 1746

GCD(9, 582) = ( 9 x 582 ) / 1746

= 9 / 582

= 9

Step3:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

So, Greatest Common Divisor of 513, 369, 582, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 632, 669, 775
• GCD of 619, 166, 869, 434
• GCD of 604, 814, 444, 994
• GCD of 998, 714, 246, 721
• GCD of 516, 223, 808, 692

Given numbers are 513, 369, 582, 261
The greatest common divisor of numbers 513, 369, 582, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 369, 582, 261 is 3.

1. What is the GCD of 513, 369, 582, 261?

GCD of given numbers 513, 369, 582, 261 is 3

2. How to calculate the greatest common divisor of 513, 369, 582, 261?

We can find the highest common divisor of 513, 369, 582, 261 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, 369, 582, 261 i.e 3.

3. How can I use the GCD of 513, 369, 582, 261Calculator?

Out the numbers 513, 369, 582, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.