GCD of 500, 672, 582, 344 Calculator

Given Input numbers are 500, 672, 582, 344

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (500, 672, 582, 344) = 2.

Given numbers are 500, 672, 582, 344

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 582 are 2 x 3 x 97

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 500, 672, 582, 344 is 2.

Given numbers are 500, 672, 582, 344

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

Apply this formula for all numbers.

Step1:

LCM(500, 672) = 84000

GCD(500, 672) = ( 500 x 672 ) / 84000

= 500 / 672

= 500

Step2:

LCM(4, 582) = 1164

GCD(4, 582) = ( 4 x 582 ) / 1164

= 4 / 582

= 4

Step3:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

So, Greatest Common Divisor of 500, 672, 582, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 682, 736, 552
• GCD of 379, 427, 540, 951
• GCD of 155, 873, 224, 602
• GCD of 295, 139, 232, 856
• GCD of 131, 454, 462, 783

Given numbers are 500, 672, 582, 344
The greatest common divisor of numbers 500, 672, 582, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 672, 582, 344 is 2.

1. What is the GCD of 500, 672, 582, 344?

GCD of given numbers 500, 672, 582, 344 is 2

2. How to calculate the greatest common divisor of 500, 672, 582, 344?

We can find the highest common divisor of 500, 672, 582, 344 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 500, 672, 582, 344 i.e 2.

3. How can I use the GCD of 500, 672, 582, 344Calculator?

Out the numbers 500, 672, 582, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.