GCD of 360, 340, 304, 675 Calculator

Given Input numbers are 360, 340, 304, 675

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

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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

GCD of numbers is the greatest common divisor

So, the GCD (360, 340, 304, 675) = 1.

Given numbers are 360, 340, 304, 675

The list of prime factors of all numbers are

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

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

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

Given numbers are 360, 340, 304, 675

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

Apply this formula for all numbers.

Step1:

LCM(360, 340) = 6120

GCD(360, 340) = ( 360 x 340 ) / 6120

= 360 / 340

= 360

Step2:

LCM(20, 304) = 1520

GCD(20, 304) = ( 20 x 304 ) / 1520

= 20 / 304

= 20

Step3:

LCM(4, 675) = 2700

GCD(4, 675) = ( 4 x 675 ) / 2700

= 4 / 675

= 4

So, Greatest Common Divisor of 360, 340, 304, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 840, 784, 888
• GCD of 388, 629, 138, 105
• GCD of 938, 976, 232, 160
• GCD of 780, 364, 392, 824
• GCD of 770, 595, 697, 211

Given numbers are 360, 340, 304, 675
The greatest common divisor of numbers 360, 340, 304, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 340, 304, 675 is 1.

1. What is the GCD of 360, 340, 304, 675?

GCD of given numbers 360, 340, 304, 675 is 1

2. How to calculate the greatest common divisor of 360, 340, 304, 675?

We can find the highest common divisor of 360, 340, 304, 675 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 360, 340, 304, 675 i.e 1.

3. How can I use the GCD of 360, 340, 304, 675Calculator?

Out the numbers 360, 340, 304, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.