GCD of 560, 675, 345, 804 Calculator

Given Input numbers are 560, 675, 345, 804

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD of numbers is the greatest common divisor

So, the GCD (560, 675, 345, 804) = 1.

Given numbers are 560, 675, 345, 804

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

Prime factors of 345 are 3 x 5 x 23

Prime factors of 804 are 2 x 2 x 3 x 67

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

Given numbers are 560, 675, 345, 804

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

Apply this formula for all numbers.

Step1:

LCM(560, 675) = 75600

GCD(560, 675) = ( 560 x 675 ) / 75600

= 560 / 675

= 560

Step2:

LCM(5, 345) = 345

GCD(5, 345) = ( 5 x 345 ) / 345

= 5 / 345

= 5

Step3:

LCM(5, 804) = 4020

GCD(5, 804) = ( 5 x 804 ) / 4020

= 5 / 804

= 5

So, Greatest Common Divisor of 560, 675, 345, 804 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 158, 772, 279
• GCD of 381, 849, 436, 352
• GCD of 718, 418, 826, 211
• GCD of 500, 410, 965, 241
• GCD of 396, 508, 480, 576

Given numbers are 560, 675, 345, 804
The greatest common divisor of numbers 560, 675, 345, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 675, 345, 804 is 1.

1. What is the GCD of 560, 675, 345, 804?

GCD of given numbers 560, 675, 345, 804 is 1

2. How to calculate the greatest common divisor of 560, 675, 345, 804?

We can find the highest common divisor of 560, 675, 345, 804 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 560, 675, 345, 804 i.e 1.

3. How can I use the GCD of 560, 675, 345, 804Calculator?

Out the numbers 560, 675, 345, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.