GCD of 998, 506, 764, 984 Calculator

Given Input numbers are 998, 506, 764, 984

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (998, 506, 764, 984) = 2.

Given numbers are 998, 506, 764, 984

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 506 are 2 x 11 x 23

Prime factors of 764 are 2 x 2 x 191

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 998, 506, 764, 984 is 2.

Given numbers are 998, 506, 764, 984

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

Apply this formula for all numbers.

Step1:

LCM(998, 506) = 252494

GCD(998, 506) = ( 998 x 506 ) / 252494

= 998 / 506

= 998

Step2:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2

Step3:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2

So, Greatest Common Divisor of 998, 506, 764, 984 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 505, 568, 962
• GCD of 644, 354, 649, 250
• GCD of 336, 320, 875, 825
• GCD of 223, 657, 951, 166
• GCD of 713, 292, 600, 102

Given numbers are 998, 506, 764, 984
The greatest common divisor of numbers 998, 506, 764, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 506, 764, 984 is 2.

1. What is the GCD of 998, 506, 764, 984?

GCD of given numbers 998, 506, 764, 984 is 2

2. How to calculate the greatest common divisor of 998, 506, 764, 984?

We can find the highest common divisor of 998, 506, 764, 984 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, 506, 764, 984 i.e 2.

3. How can I use the GCD of 998, 506, 764, 984Calculator?

Out the numbers 998, 506, 764, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.