GCD of 996, 149, 30, 180 Calculator

Given Input numbers are 996, 149, 30, 180

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

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

GCD of numbers is the greatest common divisor

So, the GCD (996, 149, 30, 180) = 1.

Given numbers are 996, 149, 30, 180

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 149 are 149

Prime factors of 30 are 2 x 3 x 5

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

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

Given numbers are 996, 149, 30, 180

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

Apply this formula for all numbers.

Step1:

LCM(996, 149) = 148404

GCD(996, 149) = ( 996 x 149 ) / 148404

= 996 / 149

= 996

Step2:

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

= 1 / 30

= 1

Step3:

LCM(1, 180) = 180

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

= 1 / 180

= 1

So, Greatest Common Divisor of 996, 149, 30, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 692, 42, 261
• GCD of 838, 350, 45, 218
• GCD of 787, 712, 82, 596
• GCD of 213, 284, 80, 263
• GCD of 741, 195, 28, 561

Given numbers are 996, 149, 30, 180
The greatest common divisor of numbers 996, 149, 30, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 149, 30, 180 is 1.

1. What is the GCD of 996, 149, 30, 180?

GCD of given numbers 996, 149, 30, 180 is 1

2. How to calculate the greatest common divisor of 996, 149, 30, 180?

We can find the highest common divisor of 996, 149, 30, 180 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 996, 149, 30, 180 i.e 1.

3. How can I use the GCD of 996, 149, 30, 180Calculator?

Out the numbers 996, 149, 30, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.