GCD of 998, 472, 920, 964 Calculator

Given Input numbers are 998, 472, 920, 964

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 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 964 :

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

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (998, 472, 920, 964) = 2.

Given numbers are 998, 472, 920, 964

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 998, 472, 920, 964 is 2.

Given numbers are 998, 472, 920, 964

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

Apply this formula for all numbers.

Step1:

LCM(998, 472) = 235528

GCD(998, 472) = ( 998 x 472 ) / 235528

= 998 / 472

= 998

Step2:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

Step3:

LCM(2, 964) = 964

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

= 2 / 964

= 2

So, Greatest Common Divisor of 998, 472, 920, 964 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 295, 829, 303
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Given numbers are 998, 472, 920, 964
The greatest common divisor of numbers 998, 472, 920, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 472, 920, 964 is 2.

1. What is the GCD of 998, 472, 920, 964?

GCD of given numbers 998, 472, 920, 964 is 2

2. How to calculate the greatest common divisor of 998, 472, 920, 964?

We can find the highest common divisor of 998, 472, 920, 964 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, 472, 920, 964 i.e 2.

3. How can I use the GCD of 998, 472, 920, 964Calculator?

Out the numbers 998, 472, 920, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.