GCD of 364, 942, 576, 508 Calculator

Given Input numbers are 364, 942, 576, 508

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (364, 942, 576, 508) = 2.

Given numbers are 364, 942, 576, 508

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 942 are 2 x 3 x 157

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 364, 942, 576, 508 is 2.

Given numbers are 364, 942, 576, 508

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

Apply this formula for all numbers.

Step1:

LCM(364, 942) = 171444

GCD(364, 942) = ( 364 x 942 ) / 171444

= 364 / 942

= 364

Step2:

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

= 2 / 576

= 2

Step3:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

So, Greatest Common Divisor of 364, 942, 576, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 194, 400, 558
• GCD of 379, 232, 271, 817
• GCD of 333, 392, 360, 439
• GCD of 128, 366, 555, 357
• GCD of 353, 919, 913, 782

Given numbers are 364, 942, 576, 508
The greatest common divisor of numbers 364, 942, 576, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 942, 576, 508 is 2.

1. What is the GCD of 364, 942, 576, 508?

GCD of given numbers 364, 942, 576, 508 is 2

2. How to calculate the greatest common divisor of 364, 942, 576, 508?

We can find the highest common divisor of 364, 942, 576, 508 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 364, 942, 576, 508 i.e 2.

3. How can I use the GCD of 364, 942, 576, 508Calculator?

Out the numbers 364, 942, 576, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.