GCD of 584, 346, 130 Calculator

Given Input numbers are 584, 346, 130

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 130 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (584, 346, 130) = 2.

Given numbers are 584, 346, 130

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 346 are 2 x 173

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 584, 346, 130 is 2.

Given numbers are 584, 346, 130

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

Apply this formula for all numbers.

Step1:

LCM(584, 346) = 101032

GCD(584, 346) = ( 584 x 346 ) / 101032

= 584 / 346

= 584

Step2:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

So, Greatest Common Divisor of 584, 346, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 410, 651
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Given numbers are 584, 346, 130
The greatest common divisor of numbers 584, 346, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 346, 130 is 2.

1. What is the GCD of 584, 346, 130?

GCD of given numbers 584, 346, 130 is 2

2. How to calculate the greatest common divisor of 584, 346, 130?

We can find the highest common divisor of 584, 346, 130 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 584, 346, 130 i.e 2.

3. How can I use the GCD of 584, 346, 130Calculator?

Out the numbers 584, 346, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.