GCD of 120, 586, 180, 949 Calculator

Given Input numbers are 120, 586, 180, 949

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

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 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

GCD of numbers is the greatest common divisor

So, the GCD (120, 586, 180, 949) = 1.

Given numbers are 120, 586, 180, 949

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 586 are 2 x 293

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

Prime factors of 949 are 13 x 73

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

Given numbers are 120, 586, 180, 949

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

Apply this formula for all numbers.

Step1:

LCM(120, 586) = 35160

GCD(120, 586) = ( 120 x 586 ) / 35160

= 120 / 586

= 120

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

= 2 / 949

= 2

So, Greatest Common Divisor of 120, 586, 180, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 675, 393, 306
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Given numbers are 120, 586, 180, 949
The greatest common divisor of numbers 120, 586, 180, 949 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 586, 180, 949 is 1.

1. What is the GCD of 120, 586, 180, 949?

GCD of given numbers 120, 586, 180, 949 is 1

2. How to calculate the greatest common divisor of 120, 586, 180, 949?

We can find the highest common divisor of 120, 586, 180, 949 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 120, 586, 180, 949 i.e 1.

3. How can I use the GCD of 120, 586, 180, 949Calculator?

Out the numbers 120, 586, 180, 949 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.