GCD of 590, 120, 704, 159 Calculator

Given Input numbers are 590, 120, 704, 159

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

Divisors of 590 :

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

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

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

GCD of numbers is the greatest common divisor

So, the GCD (590, 120, 704, 159) = 1.

Given numbers are 590, 120, 704, 159

The list of prime factors of all numbers are

Prime factors of 590 are 2 x 5 x 59

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 159 are 3 x 53

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

Given numbers are 590, 120, 704, 159

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

Apply this formula for all numbers.

Step1:

LCM(590, 120) = 7080

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

= 590 / 120

= 590

Step2:

LCM(10, 704) = 3520

GCD(10, 704) = ( 10 x 704 ) / 3520

= 10 / 704

= 10

Step3:

LCM(2, 159) = 318

GCD(2, 159) = ( 2 x 159 ) / 318

= 2 / 159

= 2

So, Greatest Common Divisor of 590, 120, 704, 159 is 1

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Given numbers are 590, 120, 704, 159
The greatest common divisor of numbers 590, 120, 704, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 590, 120, 704, 159 is 1.

1. What is the GCD of 590, 120, 704, 159?

GCD of given numbers 590, 120, 704, 159 is 1

2. How to calculate the greatest common divisor of 590, 120, 704, 159?

We can find the highest common divisor of 590, 120, 704, 159 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 590, 120, 704, 159 i.e 1.

3. How can I use the GCD of 590, 120, 704, 159Calculator?

Out the numbers 590, 120, 704, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.