GCD of 580, 164, 950, 820 Calculator

Given Input numbers are 580, 164, 950, 820

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

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (580, 164, 950, 820) = 2.

Given numbers are 580, 164, 950, 820

The list of prime factors of all numbers are

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

Prime factors of 164 are 2 x 2 x 41

Prime factors of 950 are 2 x 5 x 5 x 19

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 580, 164, 950, 820 is 2.

Given numbers are 580, 164, 950, 820

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

Apply this formula for all numbers.

Step1:

LCM(580, 164) = 23780

GCD(580, 164) = ( 580 x 164 ) / 23780

= 580 / 164

= 580

Step2:

LCM(4, 950) = 1900

GCD(4, 950) = ( 4 x 950 ) / 1900

= 4 / 950

= 4

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 580, 164, 950, 820 is 2

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Given numbers are 580, 164, 950, 820
The greatest common divisor of numbers 580, 164, 950, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 164, 950, 820 is 2.

1. What is the GCD of 580, 164, 950, 820?

GCD of given numbers 580, 164, 950, 820 is 2

2. How to calculate the greatest common divisor of 580, 164, 950, 820?

We can find the highest common divisor of 580, 164, 950, 820 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 580, 164, 950, 820 i.e 2.

3. How can I use the GCD of 580, 164, 950, 820Calculator?

Out the numbers 580, 164, 950, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.