GCD of 308, 164, 574, 984 Calculator

Given Input numbers are 308, 164, 574, 984

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

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 (308, 164, 574, 984) = 2.

Given numbers are 308, 164, 574, 984

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 164 are 2 x 2 x 41

Prime factors of 574 are 2 x 7 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 308, 164, 574, 984 is 2.

Given numbers are 308, 164, 574, 984

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

Apply this formula for all numbers.

Step1:

LCM(308, 164) = 12628

GCD(308, 164) = ( 308 x 164 ) / 12628

= 308 / 164

= 308

Step2:

LCM(4, 574) = 1148

GCD(4, 574) = ( 4 x 574 ) / 1148

= 4 / 574

= 4

Step3:

LCM(2, 984) = 984

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

= 2 / 984

= 2

So, Greatest Common Divisor of 308, 164, 574, 984 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 584, 488, 933
• GCD of 752, 646, 243, 639
• GCD of 323, 278, 286, 900
• GCD of 362, 593, 831, 948
• GCD of 697, 676, 870, 370

Given numbers are 308, 164, 574, 984
The greatest common divisor of numbers 308, 164, 574, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 164, 574, 984 is 2.

1. What is the GCD of 308, 164, 574, 984?

GCD of given numbers 308, 164, 574, 984 is 2

2. How to calculate the greatest common divisor of 308, 164, 574, 984?

We can find the highest common divisor of 308, 164, 574, 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 308, 164, 574, 984 i.e 2.

3. How can I use the GCD of 308, 164, 574, 984Calculator?

Out the numbers 308, 164, 574, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.