GCD of 120, 590, 450, 139 Calculator

Given Input numbers are 120, 590, 450, 139

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 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 139 :

The positive integer divisors of 139 that completely divides 139 are.

1, 139

GCD of numbers is the greatest common divisor

So, the GCD (120, 590, 450, 139) = 1.

Given numbers are 120, 590, 450, 139

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 590 are 2 x 5 x 59

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 139 are 139

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

Given numbers are 120, 590, 450, 139

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

Apply this formula for all numbers.

Step1:

LCM(120, 590) = 7080

GCD(120, 590) = ( 120 x 590 ) / 7080

= 120 / 590

= 120

Step2:

LCM(10, 450) = 450

GCD(10, 450) = ( 10 x 450 ) / 450

= 10 / 450

= 10

Step3:

LCM(10, 139) = 1390

GCD(10, 139) = ( 10 x 139 ) / 1390

= 10 / 139

= 10

So, Greatest Common Divisor of 120, 590, 450, 139 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 742, 835, 756
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Given numbers are 120, 590, 450, 139
The greatest common divisor of numbers 120, 590, 450, 139 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 590, 450, 139 is 1.

1. What is the GCD of 120, 590, 450, 139?

GCD of given numbers 120, 590, 450, 139 is 1

2. How to calculate the greatest common divisor of 120, 590, 450, 139?

We can find the highest common divisor of 120, 590, 450, 139 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, 590, 450, 139 i.e 1.

3. How can I use the GCD of 120, 590, 450, 139Calculator?

Out the numbers 120, 590, 450, 139 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.