GCD of 180, 906, 970, 384 Calculator

Given Input numbers are 180, 906, 970, 384

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 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (180, 906, 970, 384) = 2.

Given numbers are 180, 906, 970, 384

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 906 are 2 x 3 x 151

Prime factors of 970 are 2 x 5 x 97

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 180, 906, 970, 384 is 2.

Given numbers are 180, 906, 970, 384

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

Apply this formula for all numbers.

Step1:

LCM(180, 906) = 27180

GCD(180, 906) = ( 180 x 906 ) / 27180

= 180 / 906

= 180

Step2:

LCM(6, 970) = 2910

GCD(6, 970) = ( 6 x 970 ) / 2910

= 6 / 970

= 6

Step3:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

So, Greatest Common Divisor of 180, 906, 970, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 804, 201, 282
• GCD of 192, 508, 212, 142
• GCD of 146, 967, 799, 496
• GCD of 533, 337, 153, 825
• GCD of 389, 884, 117, 997

Given numbers are 180, 906, 970, 384
The greatest common divisor of numbers 180, 906, 970, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 906, 970, 384 is 2.

1. What is the GCD of 180, 906, 970, 384?

GCD of given numbers 180, 906, 970, 384 is 2

2. How to calculate the greatest common divisor of 180, 906, 970, 384?

We can find the highest common divisor of 180, 906, 970, 384 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, 906, 970, 384 i.e 2.

3. How can I use the GCD of 180, 906, 970, 384Calculator?

Out the numbers 180, 906, 970, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.