GCD of 576, 966, 509, 753 Calculator

Given Input numbers are 576, 966, 509, 753

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 509 :

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

1, 509

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

GCD of numbers is the greatest common divisor

So, the GCD (576, 966, 509, 753) = 1.

Given numbers are 576, 966, 509, 753

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 509 are 509

Prime factors of 753 are 3 x 251

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

Given numbers are 576, 966, 509, 753

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

Apply this formula for all numbers.

Step1:

LCM(576, 966) = 92736

GCD(576, 966) = ( 576 x 966 ) / 92736

= 576 / 966

= 576

Step2:

LCM(6, 509) = 3054

GCD(6, 509) = ( 6 x 509 ) / 3054

= 6 / 509

= 6

Step3:

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

= 1 / 753

= 1

So, Greatest Common Divisor of 576, 966, 509, 753 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 343, 952, 353
• GCD of 915, 841, 429, 614
• GCD of 782, 966, 472, 432
• GCD of 880, 569, 394, 887
• GCD of 756, 707, 717, 506

Given numbers are 576, 966, 509, 753
The greatest common divisor of numbers 576, 966, 509, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 966, 509, 753 is 1.

1. What is the GCD of 576, 966, 509, 753?

GCD of given numbers 576, 966, 509, 753 is 1

2. How to calculate the greatest common divisor of 576, 966, 509, 753?

We can find the highest common divisor of 576, 966, 509, 753 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 576, 966, 509, 753 i.e 1.

3. How can I use the GCD of 576, 966, 509, 753Calculator?

Out the numbers 576, 966, 509, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.