GCD of 994, 992, 538, 696 Calculator

Given Input numbers are 994, 992, 538, 696

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

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

GCD of numbers is the greatest common divisor

So, the GCD (994, 992, 538, 696) = 2.

Given numbers are 994, 992, 538, 696

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 538 are 2 x 269

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 994, 992, 538, 696 is 2.

Given numbers are 994, 992, 538, 696

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

Apply this formula for all numbers.

Step1:

LCM(994, 992) = 493024

GCD(994, 992) = ( 994 x 992 ) / 493024

= 994 / 992

= 994

Step2:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

Step3:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

So, Greatest Common Divisor of 994, 992, 538, 696 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 188, 934, 410
• GCD of 357, 171, 106, 482
• GCD of 732, 140, 989, 940
• GCD of 755, 818, 540, 880
• GCD of 988, 657, 259, 986

Given numbers are 994, 992, 538, 696
The greatest common divisor of numbers 994, 992, 538, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 992, 538, 696 is 2.

1. What is the GCD of 994, 992, 538, 696?

GCD of given numbers 994, 992, 538, 696 is 2

2. How to calculate the greatest common divisor of 994, 992, 538, 696?

We can find the highest common divisor of 994, 992, 538, 696 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 994, 992, 538, 696 i.e 2.

3. How can I use the GCD of 994, 992, 538, 696Calculator?

Out the numbers 994, 992, 538, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.