GCD of 302, 180, 539, 378 Calculator

Given Input numbers are 302, 180, 539, 378

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

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 539 :

The positive integer divisors of 539 that completely divides 539 are.

1, 7, 11, 49, 77, 539

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (302, 180, 539, 378) = 1.

Given numbers are 302, 180, 539, 378

The list of prime factors of all numbers are

Prime factors of 302 are 2 x 151

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

Prime factors of 539 are 7 x 7 x 11

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Given numbers are 302, 180, 539, 378

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

Apply this formula for all numbers.

Step1:

LCM(302, 180) = 27180

GCD(302, 180) = ( 302 x 180 ) / 27180

= 302 / 180

= 302

Step2:

LCM(2, 539) = 1078

GCD(2, 539) = ( 2 x 539 ) / 1078

= 2 / 539

= 2

Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

So, Greatest Common Divisor of 302, 180, 539, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 320, 288, 367
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Given numbers are 302, 180, 539, 378
The greatest common divisor of numbers 302, 180, 539, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 180, 539, 378 is 1.

1. What is the GCD of 302, 180, 539, 378?

GCD of given numbers 302, 180, 539, 378 is 1

2. How to calculate the greatest common divisor of 302, 180, 539, 378?

We can find the highest common divisor of 302, 180, 539, 378 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 302, 180, 539, 378 i.e 1.

3. How can I use the GCD of 302, 180, 539, 378Calculator?

Out the numbers 302, 180, 539, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.