GCD of 596, 718, 72, 996 Calculator

Given Input numbers are 596, 718, 72, 996

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

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 (596, 718, 72, 996) = 2.

Given numbers are 596, 718, 72, 996

The list of prime factors of all numbers are

Prime factors of 596 are 2 x 2 x 149

Prime factors of 718 are 2 x 359

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 596, 718, 72, 996 is 2.

Given numbers are 596, 718, 72, 996

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

Apply this formula for all numbers.

Step1:

LCM(596, 718) = 213964

GCD(596, 718) = ( 596 x 718 ) / 213964

= 596 / 718

= 596

Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

Step3:

LCM(2, 996) = 996

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

= 2 / 996

= 2

So, Greatest Common Divisor of 596, 718, 72, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 594, 36, 939
• GCD of 388, 546, 18, 386
• GCD of 310, 996, 57, 292
• GCD of 427, 148, 14, 600
• GCD of 563, 708, 77, 250

Given numbers are 596, 718, 72, 996
The greatest common divisor of numbers 596, 718, 72, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 596, 718, 72, 996 is 2.

1. What is the GCD of 596, 718, 72, 996?

GCD of given numbers 596, 718, 72, 996 is 2

2. How to calculate the greatest common divisor of 596, 718, 72, 996?

We can find the highest common divisor of 596, 718, 72, 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 596, 718, 72, 996 i.e 2.

3. How can I use the GCD of 596, 718, 72, 996Calculator?

Out the numbers 596, 718, 72, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.