GCD of 753, 512, 348, 360 Calculator

Given Input numbers are 753, 512, 348, 360

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

Divisors of 753 :

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

1, 3, 251, 753

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (753, 512, 348, 360) = 1.

Given numbers are 753, 512, 348, 360

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 753, 512, 348, 360

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

Apply this formula for all numbers.

Step1:

LCM(753, 512) = 385536

GCD(753, 512) = ( 753 x 512 ) / 385536

= 753 / 512

= 753

Step2:

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

= 1 / 348

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 753, 512, 348, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 834, 142, 738
• GCD of 179, 719, 309, 396
• GCD of 469, 261, 139, 737
• GCD of 124, 437, 426, 371
• GCD of 421, 330, 621, 454

Given numbers are 753, 512, 348, 360
The greatest common divisor of numbers 753, 512, 348, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 512, 348, 360 is 1.

1. What is the GCD of 753, 512, 348, 360?

GCD of given numbers 753, 512, 348, 360 is 1

2. How to calculate the greatest common divisor of 753, 512, 348, 360?

We can find the highest common divisor of 753, 512, 348, 360 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 753, 512, 348, 360 i.e 1.

3. How can I use the GCD of 753, 512, 348, 360Calculator?

Out the numbers 753, 512, 348, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.