GCD of 320, 542, 488, 996 Calculator

Given Input numbers are 320, 542, 488, 996

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (320, 542, 488, 996) = 2.

Given numbers are 320, 542, 488, 996

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 542 are 2 x 271

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 320, 542, 488, 996 is 2.

Given numbers are 320, 542, 488, 996

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

Apply this formula for all numbers.

Step1:

LCM(320, 542) = 86720

GCD(320, 542) = ( 320 x 542 ) / 86720

= 320 / 542

= 320

Step2:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2

Step3:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

So, Greatest Common Divisor of 320, 542, 488, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 383, 162, 758
• GCD of 731, 834, 120, 287
• GCD of 761, 402, 765, 116
• GCD of 886, 544, 827, 913
• GCD of 695, 873, 876, 317

Given numbers are 320, 542, 488, 996
The greatest common divisor of numbers 320, 542, 488, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 542, 488, 996 is 2.

1. What is the GCD of 320, 542, 488, 996?

GCD of given numbers 320, 542, 488, 996 is 2

2. How to calculate the greatest common divisor of 320, 542, 488, 996?

We can find the highest common divisor of 320, 542, 488, 996 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 320, 542, 488, 996 i.e 2.

3. How can I use the GCD of 320, 542, 488, 996Calculator?

Out the numbers 320, 542, 488, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.