GCD of 130, 380, 590 Calculator

Given Input numbers are 130, 380, 590

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 590 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (130, 380, 590) = 10.

Given numbers are 130, 380, 590

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 590 are 2 x 5 x 59

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 130, 380, 590 is 10.

Given numbers are 130, 380, 590

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

Apply this formula for all numbers.

Step1:

LCM(130, 380) = 4940

GCD(130, 380) = ( 130 x 380 ) / 4940

= 130 / 380

= 130

Step2:

LCM(10, 590) = 590

GCD(10, 590) = ( 10 x 590 ) / 590

= 10 / 590

= 10

So, Greatest Common Divisor of 130, 380, 590 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 185, 564
• GCD of 279, 111, 584
• GCD of 482, 950, 740
• GCD of 555, 926, 456
• GCD of 760, 635, 318

Given numbers are 130, 380, 590
The greatest common divisor of numbers 130, 380, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 380, 590 is 10.

1. What is the GCD of 130, 380, 590?

GCD of given numbers 130, 380, 590 is 10

2. How to calculate the greatest common divisor of 130, 380, 590?

We can find the highest common divisor of 130, 380, 590 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 130, 380, 590 i.e 10.

3. How can I use the GCD of 130, 380, 590Calculator?

Out the numbers 130, 380, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.