GCD of 576, 759, 375, 348 Calculator

Given Input numbers are 576, 759, 375, 348

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 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

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

GCD of numbers is the greatest common divisor

So, the GCD (576, 759, 375, 348) = 3.

Given numbers are 576, 759, 375, 348

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 759 are 3 x 11 x 23

Prime factors of 375 are 3 x 5 x 5 x 5

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

The highest common occurrence is 3¹

Therefore, GCD of 576, 759, 375, 348 is 3.

Given numbers are 576, 759, 375, 348

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

Apply this formula for all numbers.

Step1:

LCM(576, 759) = 145728

GCD(576, 759) = ( 576 x 759 ) / 145728

= 576 / 759

= 576

Step2:

LCM(3, 375) = 375

GCD(3, 375) = ( 3 x 375 ) / 375

= 3 / 375

= 3

Step3:

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

= 3 / 348

= 3

So, Greatest Common Divisor of 576, 759, 375, 348 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 599, 760, 362
• GCD of 431, 704, 759, 739
• GCD of 852, 332, 507, 527
• GCD of 619, 701, 294, 155
• GCD of 587, 181, 683, 312

Given numbers are 576, 759, 375, 348
The greatest common divisor of numbers 576, 759, 375, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 759, 375, 348 is 3.

1. What is the GCD of 576, 759, 375, 348?

GCD of given numbers 576, 759, 375, 348 is 3

2. How to calculate the greatest common divisor of 576, 759, 375, 348?

We can find the highest common divisor of 576, 759, 375, 348 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, 759, 375, 348 i.e 3.

3. How can I use the GCD of 576, 759, 375, 348Calculator?

Out the numbers 576, 759, 375, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.