GCD of 596, 592, 748, 882 Calculator

Given Input numbers are 596, 592, 748, 882

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 592 :

The positive integer divisors of 592 that completely divides 592 are.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (596, 592, 748, 882) = 2.

Given numbers are 596, 592, 748, 882

The list of prime factors of all numbers are

Prime factors of 596 are 2 x 2 x 149

Prime factors of 592 are 2 x 2 x 2 x 2 x 37

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 596, 592, 748, 882 is 2.

Given numbers are 596, 592, 748, 882

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

Apply this formula for all numbers.

Step1:

LCM(596, 592) = 88208

GCD(596, 592) = ( 596 x 592 ) / 88208

= 596 / 592

= 596

Step2:

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

= 4 / 748

= 4

Step3:

LCM(4, 882) = 1764

GCD(4, 882) = ( 4 x 882 ) / 1764

= 4 / 882

= 4

So, Greatest Common Divisor of 596, 592, 748, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 889, 962, 834
• GCD of 744, 374, 332, 423
• GCD of 296, 622, 123, 106
• GCD of 785, 616, 176, 385
• GCD of 916, 406, 640, 408

Given numbers are 596, 592, 748, 882
The greatest common divisor of numbers 596, 592, 748, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 596, 592, 748, 882 is 2.

1. What is the GCD of 596, 592, 748, 882?

GCD of given numbers 596, 592, 748, 882 is 2

2. How to calculate the greatest common divisor of 596, 592, 748, 882?

We can find the highest common divisor of 596, 592, 748, 882 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, 592, 748, 882 i.e 2.

3. How can I use the GCD of 596, 592, 748, 882Calculator?

Out the numbers 596, 592, 748, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.