GCD of 369, 306, 788, 560 Calculator

Given Input numbers are 369, 306, 788, 560

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

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

GCD of numbers is the greatest common divisor

So, the GCD (369, 306, 788, 560) = 1.

Given numbers are 369, 306, 788, 560

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 788 are 2 x 2 x 197

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

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

Given numbers are 369, 306, 788, 560

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

Apply this formula for all numbers.

Step1:

LCM(369, 306) = 12546

GCD(369, 306) = ( 369 x 306 ) / 12546

= 369 / 306

= 369

Step2:

LCM(9, 788) = 7092

GCD(9, 788) = ( 9 x 788 ) / 7092

= 9 / 788

= 9

Step3:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1

So, Greatest Common Divisor of 369, 306, 788, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 722, 728, 780
• GCD of 107, 460, 861, 665
• GCD of 669, 156, 395, 367
• GCD of 918, 298, 174, 673
• GCD of 598, 866, 304, 895

Given numbers are 369, 306, 788, 560
The greatest common divisor of numbers 369, 306, 788, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 306, 788, 560 is 1.

1. What is the GCD of 369, 306, 788, 560?

GCD of given numbers 369, 306, 788, 560 is 1

2. How to calculate the greatest common divisor of 369, 306, 788, 560?

We can find the highest common divisor of 369, 306, 788, 560 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 369, 306, 788, 560 i.e 1.

3. How can I use the GCD of 369, 306, 788, 560Calculator?

Out the numbers 369, 306, 788, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.