GCD of 944, 816, 508, 692 Calculator

Given Input numbers are 944, 816, 508, 692

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 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (944, 816, 508, 692) = 4.

Given numbers are 944, 816, 508, 692

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 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 508 are 2 x 2 x 127

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2²

Therefore, GCD of 944, 816, 508, 692 is 4.

Given numbers are 944, 816, 508, 692

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

Apply this formula for all numbers.

Step1:

LCM(944, 816) = 48144

GCD(944, 816) = ( 944 x 816 ) / 48144

= 944 / 816

= 944

Step2:

LCM(16, 508) = 2032

GCD(16, 508) = ( 16 x 508 ) / 2032

= 16 / 508

= 16

Step3:

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

= 4 / 692

= 4

So, Greatest Common Divisor of 944, 816, 508, 692 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 805, 608, 270
• GCD of 664, 784, 268, 415
• GCD of 116, 229, 602, 140
• GCD of 345, 549, 362, 103
• GCD of 670, 565, 663, 433

Given numbers are 944, 816, 508, 692
The greatest common divisor of numbers 944, 816, 508, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 944, 816, 508, 692 is 4.

1. What is the GCD of 944, 816, 508, 692?

GCD of given numbers 944, 816, 508, 692 is 4

2. How to calculate the greatest common divisor of 944, 816, 508, 692?

We can find the highest common divisor of 944, 816, 508, 692 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, 816, 508, 692 i.e 4.

3. How can I use the GCD of 944, 816, 508, 692Calculator?

Out the numbers 944, 816, 508, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.