GCD of 938, 820, 844, 500 Calculator

Given Input numbers are 938, 820, 844, 500

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

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

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

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

GCD of numbers is the greatest common divisor

So, the GCD (938, 820, 844, 500) = 2.

Given numbers are 938, 820, 844, 500

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

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

Prime factors of 844 are 2 x 2 x 211

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

The highest common occurrence is 2¹

Therefore, GCD of 938, 820, 844, 500 is 2.

Given numbers are 938, 820, 844, 500

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

Apply this formula for all numbers.

Step1:

LCM(938, 820) = 384580

GCD(938, 820) = ( 938 x 820 ) / 384580

= 938 / 820

= 938

Step2:

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

= 2 / 844

= 2

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 938, 820, 844, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 285, 160, 408
• GCD of 854, 663, 500, 351
• GCD of 399, 187, 874, 353
• GCD of 333, 146, 856, 870
• GCD of 287, 623, 695, 863

Given numbers are 938, 820, 844, 500
The greatest common divisor of numbers 938, 820, 844, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 820, 844, 500 is 2.

1. What is the GCD of 938, 820, 844, 500?

GCD of given numbers 938, 820, 844, 500 is 2

2. How to calculate the greatest common divisor of 938, 820, 844, 500?

We can find the highest common divisor of 938, 820, 844, 500 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 938, 820, 844, 500 i.e 2.

3. How can I use the GCD of 938, 820, 844, 500Calculator?

Out the numbers 938, 820, 844, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.