GCD of 998, 696, 964, 852 Calculator

Given Input numbers are 998, 696, 964, 852

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

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

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (998, 696, 964, 852) = 2.

Given numbers are 998, 696, 964, 852

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

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

Prime factors of 964 are 2 x 2 x 241

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 998, 696, 964, 852 is 2.

Given numbers are 998, 696, 964, 852

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

Apply this formula for all numbers.

Step1:

LCM(998, 696) = 347304

GCD(998, 696) = ( 998 x 696 ) / 347304

= 998 / 696

= 998

Step2:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

Step3:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

So, Greatest Common Divisor of 998, 696, 964, 852 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 539, 553, 855
• GCD of 409, 893, 696, 678
• GCD of 654, 856, 513, 422
• GCD of 104, 369, 920, 550
• GCD of 744, 574, 407, 293

Given numbers are 998, 696, 964, 852
The greatest common divisor of numbers 998, 696, 964, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 696, 964, 852 is 2.

1. What is the GCD of 998, 696, 964, 852?

GCD of given numbers 998, 696, 964, 852 is 2

2. How to calculate the greatest common divisor of 998, 696, 964, 852?

We can find the highest common divisor of 998, 696, 964, 852 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 998, 696, 964, 852 i.e 2.

3. How can I use the GCD of 998, 696, 964, 852Calculator?

Out the numbers 998, 696, 964, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.