GCD of 369, 509, 752, 320 Calculator

Given Input numbers are 369, 509, 752, 320

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

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 509 :

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

1, 509

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (369, 509, 752, 320) = 1.

Given numbers are 369, 509, 752, 320

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 509 are 509

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 369, 509, 752, 320

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

Apply this formula for all numbers.

Step1:

LCM(369, 509) = 187821

GCD(369, 509) = ( 369 x 509 ) / 187821

= 369 / 509

= 369

Step2:

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

= 1 / 752

= 1

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 369, 509, 752, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 176, 588, 258
• GCD of 657, 555, 219, 618
• GCD of 836, 384, 189, 608
• GCD of 474, 324, 629, 314
• GCD of 747, 675, 643, 362

Given numbers are 369, 509, 752, 320
The greatest common divisor of numbers 369, 509, 752, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 509, 752, 320 is 1.

1. What is the GCD of 369, 509, 752, 320?

GCD of given numbers 369, 509, 752, 320 is 1

2. How to calculate the greatest common divisor of 369, 509, 752, 320?

We can find the highest common divisor of 369, 509, 752, 320 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 369, 509, 752, 320 i.e 1.

3. How can I use the GCD of 369, 509, 752, 320Calculator?

Out the numbers 369, 509, 752, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.