GCD of 944, 508, 462, 820 Calculator

Given Input numbers are 944, 508, 462, 820

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

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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 (944, 508, 462, 820) = 2.

Given numbers are 944, 508, 462, 820

The list of prime factors of all numbers are

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 508 are 2 x 2 x 127

Prime factors of 462 are 2 x 3 x 7 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 944, 508, 462, 820 is 2.

Given numbers are 944, 508, 462, 820

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

Apply this formula for all numbers.

Step1:

LCM(944, 508) = 119888

GCD(944, 508) = ( 944 x 508 ) / 119888

= 944 / 508

= 944

Step2:

LCM(4, 462) = 924

GCD(4, 462) = ( 4 x 462 ) / 924

= 4 / 462

= 4

Step3:

LCM(2, 820) = 820

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

= 2 / 820

= 2

So, Greatest Common Divisor of 944, 508, 462, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 137, 880, 793
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Given numbers are 944, 508, 462, 820
The greatest common divisor of numbers 944, 508, 462, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 944, 508, 462, 820 is 2.

1. What is the GCD of 944, 508, 462, 820?

GCD of given numbers 944, 508, 462, 820 is 2

2. How to calculate the greatest common divisor of 944, 508, 462, 820?

We can find the highest common divisor of 944, 508, 462, 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 944, 508, 462, 820 i.e 2.

3. How can I use the GCD of 944, 508, 462, 820Calculator?

Out the numbers 944, 508, 462, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.