GCD of 130, 586, 280 Calculator

Given Input numbers are 130, 586, 280

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 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (130, 586, 280) = 2.

Given numbers are 130, 586, 280

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 586 are 2 x 293

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 130, 586, 280 is 2.

Given numbers are 130, 586, 280

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

Apply this formula for all numbers.

Step1:

LCM(130, 586) = 38090

GCD(130, 586) = ( 130 x 586 ) / 38090

= 130 / 586

= 130

Step2:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 130, 586, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 321, 914
• GCD of 103, 676, 448
• GCD of 826, 259, 870
• GCD of 141, 373, 702
• GCD of 231, 182, 507

Given numbers are 130, 586, 280
The greatest common divisor of numbers 130, 586, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 586, 280 is 2.

1. What is the GCD of 130, 586, 280?

GCD of given numbers 130, 586, 280 is 2

2. How to calculate the greatest common divisor of 130, 586, 280?

We can find the highest common divisor of 130, 586, 280 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, 586, 280 i.e 2.

3. How can I use the GCD of 130, 586, 280Calculator?

Out the numbers 130, 586, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.