GCD of 675, 768, 387, 342 Calculator

Given Input numbers are 675, 768, 387, 342

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (675, 768, 387, 342) = 3.

Given numbers are 675, 768, 387, 342

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 387 are 3 x 3 x 43

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 675, 768, 387, 342 is 3.

Given numbers are 675, 768, 387, 342

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

Apply this formula for all numbers.

Step1:

LCM(675, 768) = 172800

GCD(675, 768) = ( 675 x 768 ) / 172800

= 675 / 768

= 675

Step2:

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

= 3 / 387

= 3

Step3:

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

= 3 / 342

= 3

So, Greatest Common Divisor of 675, 768, 387, 342 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 454, 854, 371
• GCD of 375, 164, 598, 596
• GCD of 129, 829, 706, 789
• GCD of 230, 452, 424, 241
• GCD of 290, 190, 554, 376

Given numbers are 675, 768, 387, 342
The greatest common divisor of numbers 675, 768, 387, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 768, 387, 342 is 3.

1. What is the GCD of 675, 768, 387, 342?

GCD of given numbers 675, 768, 387, 342 is 3

2. How to calculate the greatest common divisor of 675, 768, 387, 342?

We can find the highest common divisor of 675, 768, 387, 342 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 675, 768, 387, 342 i.e 3.

3. How can I use the GCD of 675, 768, 387, 342Calculator?

Out the numbers 675, 768, 387, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.