GCD of 182, 468, 400, 164 Calculator

Given Input numbers are 182, 468, 400, 164

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

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (182, 468, 400, 164) = 2.

Given numbers are 182, 468, 400, 164

The list of prime factors of all numbers are

Prime factors of 182 are 2 x 7 x 13

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 182, 468, 400, 164 is 2.

Given numbers are 182, 468, 400, 164

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

Apply this formula for all numbers.

Step1:

LCM(182, 468) = 3276

GCD(182, 468) = ( 182 x 468 ) / 3276

= 182 / 468

= 182

Step2:

LCM(26, 400) = 5200

GCD(26, 400) = ( 26 x 400 ) / 5200

= 26 / 400

= 26

Step3:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

So, Greatest Common Divisor of 182, 468, 400, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 359, 417, 655
• GCD of 252, 765, 105, 283
• GCD of 121, 828, 879, 363
• GCD of 233, 307, 500, 557
• GCD of 734, 544, 151, 538

Given numbers are 182, 468, 400, 164
The greatest common divisor of numbers 182, 468, 400, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 182, 468, 400, 164 is 2.

1. What is the GCD of 182, 468, 400, 164?

GCD of given numbers 182, 468, 400, 164 is 2

2. How to calculate the greatest common divisor of 182, 468, 400, 164?

We can find the highest common divisor of 182, 468, 400, 164 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 182, 468, 400, 164 i.e 2.

3. How can I use the GCD of 182, 468, 400, 164Calculator?

Out the numbers 182, 468, 400, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.