GCD of 812, 596, 996, 142 Calculator

Given Input numbers are 812, 596, 996, 142

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

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 596 :

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

1, 2, 4, 149, 298, 596

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

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (812, 596, 996, 142) = 2.

Given numbers are 812, 596, 996, 142

The list of prime factors of all numbers are

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 596 are 2 x 2 x 149

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

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 812, 596, 996, 142 is 2.

Given numbers are 812, 596, 996, 142

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

Apply this formula for all numbers.

Step1:

LCM(812, 596) = 120988

GCD(812, 596) = ( 812 x 596 ) / 120988

= 812 / 596

= 812

Step2:

LCM(4, 996) = 996

GCD(4, 996) = ( 4 x 996 ) / 996

= 4 / 996

= 4

Step3:

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

= 4 / 142

= 4

So, Greatest Common Divisor of 812, 596, 996, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 139, 662, 449
• GCD of 434, 563, 742, 993
• GCD of 461, 504, 884, 779
• GCD of 327, 724, 430, 715
• GCD of 958, 502, 649, 679

Given numbers are 812, 596, 996, 142
The greatest common divisor of numbers 812, 596, 996, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 596, 996, 142 is 2.

1. What is the GCD of 812, 596, 996, 142?

GCD of given numbers 812, 596, 996, 142 is 2

2. How to calculate the greatest common divisor of 812, 596, 996, 142?

We can find the highest common divisor of 812, 596, 996, 142 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 812, 596, 996, 142 i.e 2.

3. How can I use the GCD of 812, 596, 996, 142Calculator?

Out the numbers 812, 596, 996, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.