GCD of 508, 450, 984, 788 Calculator

Given Input numbers are 508, 450, 984, 788

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

GCD of numbers is the greatest common divisor

So, the GCD (508, 450, 984, 788) = 2.

Given numbers are 508, 450, 984, 788

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

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

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 508, 450, 984, 788 is 2.

Given numbers are 508, 450, 984, 788

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

Apply this formula for all numbers.

Step1:

LCM(508, 450) = 114300

GCD(508, 450) = ( 508 x 450 ) / 114300

= 508 / 450

= 508

Step2:

LCM(2, 984) = 984

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

= 2 / 984

= 2

Step3:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2

So, Greatest Common Divisor of 508, 450, 984, 788 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 845, 165, 228
• GCD of 581, 641, 982, 941
• GCD of 449, 447, 664, 706
• GCD of 147, 894, 538, 446
• GCD of 937, 596, 447, 132

Given numbers are 508, 450, 984, 788
The greatest common divisor of numbers 508, 450, 984, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 450, 984, 788 is 2.

1. What is the GCD of 508, 450, 984, 788?

GCD of given numbers 508, 450, 984, 788 is 2

2. How to calculate the greatest common divisor of 508, 450, 984, 788?

We can find the highest common divisor of 508, 450, 984, 788 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 508, 450, 984, 788 i.e 2.

3. How can I use the GCD of 508, 450, 984, 788Calculator?

Out the numbers 508, 450, 984, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.