GCD of 369, 291, 180, 510 Calculator

Given Input numbers are 369, 291, 180, 510

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 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

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 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

GCD of numbers is the greatest common divisor

So, the GCD (369, 291, 180, 510) = 3.

Given numbers are 369, 291, 180, 510

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 291 are 3 x 97

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

Prime factors of 510 are 2 x 3 x 5 x 17

The highest common occurrence is 3¹

Therefore, GCD of 369, 291, 180, 510 is 3.

Given numbers are 369, 291, 180, 510

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

Apply this formula for all numbers.

Step1:

LCM(369, 291) = 35793

GCD(369, 291) = ( 369 x 291 ) / 35793

= 369 / 291

= 369

Step2:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

Step3:

LCM(3, 510) = 510

GCD(3, 510) = ( 3 x 510 ) / 510

= 3 / 510

= 3

So, Greatest Common Divisor of 369, 291, 180, 510 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 370, 117, 438
• GCD of 904, 573, 696, 423
• GCD of 269, 712, 256, 156
• GCD of 675, 143, 748, 146
• GCD of 578, 353, 619, 495

Given numbers are 369, 291, 180, 510
The greatest common divisor of numbers 369, 291, 180, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 291, 180, 510 is 3.

1. What is the GCD of 369, 291, 180, 510?

GCD of given numbers 369, 291, 180, 510 is 3

2. How to calculate the greatest common divisor of 369, 291, 180, 510?

We can find the highest common divisor of 369, 291, 180, 510 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, 291, 180, 510 i.e 3.

3. How can I use the GCD of 369, 291, 180, 510Calculator?

Out the numbers 369, 291, 180, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.