GCD of 996, 158, 590, 456 Calculator

Given Input numbers are 996, 158, 590, 456

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

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 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (996, 158, 590, 456) = 2.

Given numbers are 996, 158, 590, 456

The list of prime factors of all numbers are

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

Prime factors of 158 are 2 x 79

Prime factors of 590 are 2 x 5 x 59

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 996, 158, 590, 456 is 2.

Given numbers are 996, 158, 590, 456

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

Apply this formula for all numbers.

Step1:

LCM(996, 158) = 78684

GCD(996, 158) = ( 996 x 158 ) / 78684

= 996 / 158

= 996

Step2:

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

= 2 / 590

= 2

Step3:

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

= 2 / 456

= 2

So, Greatest Common Divisor of 996, 158, 590, 456 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 315, 829, 937
• GCD of 472, 186, 781, 347
• GCD of 346, 312, 769, 641
• GCD of 564, 649, 335, 531
• GCD of 415, 655, 454, 311

Given numbers are 996, 158, 590, 456
The greatest common divisor of numbers 996, 158, 590, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 158, 590, 456 is 2.

1. What is the GCD of 996, 158, 590, 456?

GCD of given numbers 996, 158, 590, 456 is 2

2. How to calculate the greatest common divisor of 996, 158, 590, 456?

We can find the highest common divisor of 996, 158, 590, 456 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 996, 158, 590, 456 i.e 2.

3. How can I use the GCD of 996, 158, 590, 456Calculator?

Out the numbers 996, 158, 590, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.