GCD of 120, 431, 614, 582 Calculator

Given Input numbers are 120, 431, 614, 582

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 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

GCD of numbers is the greatest common divisor

So, the GCD (120, 431, 614, 582) = 1.

Given numbers are 120, 431, 614, 582

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 431 are 431

Prime factors of 614 are 2 x 307

Prime factors of 582 are 2 x 3 x 97

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

Given numbers are 120, 431, 614, 582

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

Apply this formula for all numbers.

Step1:

LCM(120, 431) = 51720

GCD(120, 431) = ( 120 x 431 ) / 51720

= 120 / 431

= 120

Step2:

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

= 1 / 614

= 1

Step3:

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

= 1 / 582

= 1

So, Greatest Common Divisor of 120, 431, 614, 582 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 184, 307, 242
• GCD of 932, 690, 986, 954
• GCD of 677, 577, 650, 175
• GCD of 119, 966, 388, 492
• GCD of 725, 389, 191, 614

Given numbers are 120, 431, 614, 582
The greatest common divisor of numbers 120, 431, 614, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 431, 614, 582 is 1.

1. What is the GCD of 120, 431, 614, 582?

GCD of given numbers 120, 431, 614, 582 is 1

2. How to calculate the greatest common divisor of 120, 431, 614, 582?

We can find the highest common divisor of 120, 431, 614, 582 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, 431, 614, 582 i.e 1.

3. How can I use the GCD of 120, 431, 614, 582Calculator?

Out the numbers 120, 431, 614, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.