GCD of 513, 120, 936, 575 Calculator

Given Input numbers are 513, 120, 936, 575

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

GCD of numbers is the greatest common divisor

So, the GCD (513, 120, 936, 575) = 1.

Given numbers are 513, 120, 936, 575

The list of prime factors of all numbers are

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

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 575 are 5 x 5 x 23

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

Given numbers are 513, 120, 936, 575

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

Apply this formula for all numbers.

Step1:

LCM(513, 120) = 20520

GCD(513, 120) = ( 513 x 120 ) / 20520

= 513 / 120

= 513

Step2:

LCM(3, 936) = 936

GCD(3, 936) = ( 3 x 936 ) / 936

= 3 / 936

= 3

Step3:

LCM(3, 575) = 1725

GCD(3, 575) = ( 3 x 575 ) / 1725

= 3 / 575

= 3

So, Greatest Common Divisor of 513, 120, 936, 575 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 977, 892, 954
• GCD of 614, 235, 580, 907
• GCD of 975, 866, 957, 177
• GCD of 973, 206, 611, 198
• GCD of 655, 448, 632, 695

Given numbers are 513, 120, 936, 575
The greatest common divisor of numbers 513, 120, 936, 575 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 120, 936, 575 is 1.

1. What is the GCD of 513, 120, 936, 575?

GCD of given numbers 513, 120, 936, 575 is 1

2. How to calculate the greatest common divisor of 513, 120, 936, 575?

We can find the highest common divisor of 513, 120, 936, 575 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, 120, 936, 575 i.e 1.

3. How can I use the GCD of 513, 120, 936, 575Calculator?

Out the numbers 513, 120, 936, 575 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.