GCD of 120, 260, 326, 580 Calculator

Given Input numbers are 120, 260, 326, 580

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 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (120, 260, 326, 580) = 2.

Given numbers are 120, 260, 326, 580

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 260 are 2 x 2 x 5 x 13

Prime factors of 326 are 2 x 163

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 120, 260, 326, 580 is 2.

Given numbers are 120, 260, 326, 580

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

Apply this formula for all numbers.

Step1:

LCM(120, 260) = 1560

GCD(120, 260) = ( 120 x 260 ) / 1560

= 120 / 260

= 120

Step2:

LCM(20, 326) = 3260

GCD(20, 326) = ( 20 x 326 ) / 3260

= 20 / 326

= 20

Step3:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

So, Greatest Common Divisor of 120, 260, 326, 580 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 392, 299, 843
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• GCD of 927, 473, 880, 249
• GCD of 266, 710, 905, 398
• GCD of 126, 600, 531, 869

Given numbers are 120, 260, 326, 580
The greatest common divisor of numbers 120, 260, 326, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 260, 326, 580 is 2.

1. What is the GCD of 120, 260, 326, 580?

GCD of given numbers 120, 260, 326, 580 is 2

2. How to calculate the greatest common divisor of 120, 260, 326, 580?

We can find the highest common divisor of 120, 260, 326, 580 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, 260, 326, 580 i.e 2.

3. How can I use the GCD of 120, 260, 326, 580Calculator?

Out the numbers 120, 260, 326, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.