GCD of 984, 414, 428, 500 Calculator

Given Input numbers are 984, 414, 428, 500

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

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (984, 414, 428, 500) = 2.

Given numbers are 984, 414, 428, 500

The list of prime factors of all numbers are

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

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 428 are 2 x 2 x 107

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 984, 414, 428, 500 is 2.

Given numbers are 984, 414, 428, 500

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

Apply this formula for all numbers.

Step1:

LCM(984, 414) = 67896

GCD(984, 414) = ( 984 x 414 ) / 67896

= 984 / 414

= 984

Step2:

LCM(6, 428) = 1284

GCD(6, 428) = ( 6 x 428 ) / 1284

= 6 / 428

= 6

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 984, 414, 428, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 135, 355, 997
• GCD of 617, 231, 311, 972
• GCD of 720, 448, 690, 673
• GCD of 830, 383, 382, 591
• GCD of 748, 468, 722, 737

Given numbers are 984, 414, 428, 500
The greatest common divisor of numbers 984, 414, 428, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 414, 428, 500 is 2.

1. What is the GCD of 984, 414, 428, 500?

GCD of given numbers 984, 414, 428, 500 is 2

2. How to calculate the greatest common divisor of 984, 414, 428, 500?

We can find the highest common divisor of 984, 414, 428, 500 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 984, 414, 428, 500 i.e 2.

3. How can I use the GCD of 984, 414, 428, 500Calculator?

Out the numbers 984, 414, 428, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.