GCD of 614, 329, 180, 369 Calculator

Given Input numbers are 614, 329, 180, 369

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

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

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 369 :

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

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (614, 329, 180, 369) = 1.

Given numbers are 614, 329, 180, 369

The list of prime factors of all numbers are

Prime factors of 614 are 2 x 307

Prime factors of 329 are 7 x 47

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

Prime factors of 369 are 3 x 3 x 41

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

Given numbers are 614, 329, 180, 369

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

Apply this formula for all numbers.

Step1:

LCM(614, 329) = 202006

GCD(614, 329) = ( 614 x 329 ) / 202006

= 614 / 329

= 614

Step2:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

Step3:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1

So, Greatest Common Divisor of 614, 329, 180, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 708, 887, 828
• GCD of 510, 801, 236, 748
• GCD of 527, 711, 208, 819
• GCD of 430, 215, 414, 351
• GCD of 416, 378, 663, 540

Given numbers are 614, 329, 180, 369
The greatest common divisor of numbers 614, 329, 180, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 329, 180, 369 is 1.

1. What is the GCD of 614, 329, 180, 369?

GCD of given numbers 614, 329, 180, 369 is 1

2. How to calculate the greatest common divisor of 614, 329, 180, 369?

We can find the highest common divisor of 614, 329, 180, 369 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 614, 329, 180, 369 i.e 1.

3. How can I use the GCD of 614, 329, 180, 369Calculator?

Out the numbers 614, 329, 180, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.