GCD of 366, 552, 300, 116 Calculator

Given Input numbers are 366, 552, 300, 116

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

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (366, 552, 300, 116) = 2.

Given numbers are 366, 552, 300, 116

The list of prime factors of all numbers are

Prime factors of 366 are 2 x 3 x 61

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 366, 552, 300, 116 is 2.

Given numbers are 366, 552, 300, 116

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

Apply this formula for all numbers.

Step1:

LCM(366, 552) = 33672

GCD(366, 552) = ( 366 x 552 ) / 33672

= 366 / 552

= 366

Step2:

LCM(6, 300) = 300

GCD(6, 300) = ( 6 x 300 ) / 300

= 6 / 300

= 6

Step3:

LCM(6, 116) = 348

GCD(6, 116) = ( 6 x 116 ) / 348

= 6 / 116

= 6

So, Greatest Common Divisor of 366, 552, 300, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 616, 899, 502
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• GCD of 744, 838, 415, 265
• GCD of 736, 267, 418, 365

Given numbers are 366, 552, 300, 116
The greatest common divisor of numbers 366, 552, 300, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 552, 300, 116 is 2.

1. What is the GCD of 366, 552, 300, 116?

GCD of given numbers 366, 552, 300, 116 is 2

2. How to calculate the greatest common divisor of 366, 552, 300, 116?

We can find the highest common divisor of 366, 552, 300, 116 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 366, 552, 300, 116 i.e 2.

3. How can I use the GCD of 366, 552, 300, 116Calculator?

Out the numbers 366, 552, 300, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.