GCD of 132, 474, 400, 186 Calculator

Given Input numbers are 132, 474, 400, 186

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

GCD of numbers is the greatest common divisor

So, the GCD (132, 474, 400, 186) = 2.

Given numbers are 132, 474, 400, 186

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 474 are 2 x 3 x 79

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

Prime factors of 186 are 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 132, 474, 400, 186 is 2.

Given numbers are 132, 474, 400, 186

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

Apply this formula for all numbers.

Step1:

LCM(132, 474) = 10428

GCD(132, 474) = ( 132 x 474 ) / 10428

= 132 / 474

= 132

Step2:

LCM(6, 400) = 1200

GCD(6, 400) = ( 6 x 400 ) / 1200

= 6 / 400

= 6

Step3:

LCM(2, 186) = 186

GCD(2, 186) = ( 2 x 186 ) / 186

= 2 / 186

= 2

So, Greatest Common Divisor of 132, 474, 400, 186 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 683, 176, 769, 442
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• GCD of 468, 461, 233, 351
• GCD of 794, 958, 704, 532
• GCD of 649, 485, 570, 393

Given numbers are 132, 474, 400, 186
The greatest common divisor of numbers 132, 474, 400, 186 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 474, 400, 186 is 2.

1. What is the GCD of 132, 474, 400, 186?

GCD of given numbers 132, 474, 400, 186 is 2

2. How to calculate the greatest common divisor of 132, 474, 400, 186?

We can find the highest common divisor of 132, 474, 400, 186 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 132, 474, 400, 186 i.e 2.

3. How can I use the GCD of 132, 474, 400, 186Calculator?

Out the numbers 132, 474, 400, 186 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.