GCD of 180, 308, 223, 902 Calculator

Given Input numbers are 180, 308, 223, 902

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

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 223 :

The positive integer divisors of 223 that completely divides 223 are.

1, 223

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

GCD of numbers is the greatest common divisor

So, the GCD (180, 308, 223, 902) = 1.

Given numbers are 180, 308, 223, 902

The list of prime factors of all numbers are

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

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 223 are 223

Prime factors of 902 are 2 x 11 x 41

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

Given numbers are 180, 308, 223, 902

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

Apply this formula for all numbers.

Step1:

LCM(180, 308) = 13860

GCD(180, 308) = ( 180 x 308 ) / 13860

= 180 / 308

= 180

Step2:

LCM(4, 223) = 892

GCD(4, 223) = ( 4 x 223 ) / 892

= 4 / 223

= 4

Step3:

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

= 1 / 902

= 1

So, Greatest Common Divisor of 180, 308, 223, 902 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 314, 676, 299
• GCD of 338, 848, 788, 913
• GCD of 732, 789, 784, 227
• GCD of 740, 906, 508, 459
• GCD of 729, 216, 818, 911

Given numbers are 180, 308, 223, 902
The greatest common divisor of numbers 180, 308, 223, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 308, 223, 902 is 1.

1. What is the GCD of 180, 308, 223, 902?

GCD of given numbers 180, 308, 223, 902 is 1

2. How to calculate the greatest common divisor of 180, 308, 223, 902?

We can find the highest common divisor of 180, 308, 223, 902 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 180, 308, 223, 902 i.e 1.

3. How can I use the GCD of 180, 308, 223, 902Calculator?

Out the numbers 180, 308, 223, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.