GCD of 366, 336, 676, 300 Calculator

Given Input numbers are 366, 336, 676, 300

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 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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

GCD of numbers is the greatest common divisor

So, the GCD (366, 336, 676, 300) = 2.

Given numbers are 366, 336, 676, 300

The list of prime factors of all numbers are

Prime factors of 366 are 2 x 3 x 61

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 676 are 2 x 2 x 13 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 366, 336, 676, 300 is 2.

Given numbers are 366, 336, 676, 300

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

Apply this formula for all numbers.

Step1:

LCM(366, 336) = 20496

GCD(366, 336) = ( 366 x 336 ) / 20496

= 366 / 336

= 366

Step2:

LCM(6, 676) = 2028

GCD(6, 676) = ( 6 x 676 ) / 2028

= 6 / 676

= 6

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 366, 336, 676, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 974, 497, 881
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Given numbers are 366, 336, 676, 300
The greatest common divisor of numbers 366, 336, 676, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 336, 676, 300 is 2.

1. What is the GCD of 366, 336, 676, 300?

GCD of given numbers 366, 336, 676, 300 is 2

2. How to calculate the greatest common divisor of 366, 336, 676, 300?

We can find the highest common divisor of 366, 336, 676, 300 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, 336, 676, 300 i.e 2.

3. How can I use the GCD of 366, 336, 676, 300Calculator?

Out the numbers 366, 336, 676, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.