GCD of 360, 494, 306, 143 Calculator

Given Input numbers are 360, 494, 306, 143

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

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 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

GCD of numbers is the greatest common divisor

So, the GCD (360, 494, 306, 143) = 1.

Given numbers are 360, 494, 306, 143

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 494 are 2 x 13 x 19

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

Prime factors of 143 are 11 x 13

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

Given numbers are 360, 494, 306, 143

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

Apply this formula for all numbers.

Step1:

LCM(360, 494) = 88920

GCD(360, 494) = ( 360 x 494 ) / 88920

= 360 / 494

= 360

Step2:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

Step3:

LCM(2, 143) = 286

GCD(2, 143) = ( 2 x 143 ) / 286

= 2 / 143

= 2

So, Greatest Common Divisor of 360, 494, 306, 143 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 824, 888, 556
• GCD of 948, 338, 783, 256
• GCD of 737, 463, 933, 262
• GCD of 828, 129, 205, 778
• GCD of 124, 365, 118, 589

Given numbers are 360, 494, 306, 143
The greatest common divisor of numbers 360, 494, 306, 143 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 494, 306, 143 is 1.

1. What is the GCD of 360, 494, 306, 143?

GCD of given numbers 360, 494, 306, 143 is 1

2. How to calculate the greatest common divisor of 360, 494, 306, 143?

We can find the highest common divisor of 360, 494, 306, 143 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 360, 494, 306, 143 i.e 1.

3. How can I use the GCD of 360, 494, 306, 143Calculator?

Out the numbers 360, 494, 306, 143 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.