GCD of 690, 315, 180, 596 Calculator

Given Input numbers are 690, 315, 180, 596

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

GCD of numbers is the greatest common divisor

So, the GCD (690, 315, 180, 596) = 1.

Given numbers are 690, 315, 180, 596

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 596 are 2 x 2 x 149

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

Given numbers are 690, 315, 180, 596

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

Apply this formula for all numbers.

Step1:

LCM(690, 315) = 14490

GCD(690, 315) = ( 690 x 315 ) / 14490

= 690 / 315

= 690

Step2:

LCM(15, 180) = 180

GCD(15, 180) = ( 15 x 180 ) / 180

= 15 / 180

= 15

Step3:

LCM(15, 596) = 8940

GCD(15, 596) = ( 15 x 596 ) / 8940

= 15 / 596

= 15

So, Greatest Common Divisor of 690, 315, 180, 596 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 428, 672, 720
• GCD of 498, 495, 139, 840
• GCD of 792, 127, 764, 116
• GCD of 158, 997, 279, 830
• GCD of 932, 962, 305, 187

Given numbers are 690, 315, 180, 596
The greatest common divisor of numbers 690, 315, 180, 596 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 315, 180, 596 is 1.

1. What is the GCD of 690, 315, 180, 596?

GCD of given numbers 690, 315, 180, 596 is 1

2. How to calculate the greatest common divisor of 690, 315, 180, 596?

We can find the highest common divisor of 690, 315, 180, 596 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 690, 315, 180, 596 i.e 1.

3. How can I use the GCD of 690, 315, 180, 596Calculator?

Out the numbers 690, 315, 180, 596 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.