GCD of 364, 300, 45, 467 Calculator

Given Input numbers are 364, 300, 45, 467

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

Divisors of 467 :

The positive integer divisors of 467 that completely divides 467 are.

1, 467

GCD of numbers is the greatest common divisor

So, the GCD (364, 300, 45, 467) = 1.

Given numbers are 364, 300, 45, 467

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

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

Prime factors of 45 are 3 x 3 x 5

Prime factors of 467 are 467

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 364, 300, 45, 467

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

Apply this formula for all numbers.

Step1:

LCM(364, 300) = 27300

GCD(364, 300) = ( 364 x 300 ) / 27300

= 364 / 300

= 364

Step2:

LCM(4, 45) = 180

GCD(4, 45) = ( 4 x 45 ) / 180

= 4 / 45

= 4

Step3:

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

= 1 / 467

= 1

So, Greatest Common Divisor of 364, 300, 45, 467 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 372, 33, 957
• GCD of 967, 961, 68, 305
• GCD of 887, 961, 93, 490
• GCD of 474, 642, 87, 175
• GCD of 220, 446, 38, 733

Given numbers are 364, 300, 45, 467
The greatest common divisor of numbers 364, 300, 45, 467 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 300, 45, 467 is 1.

1. What is the GCD of 364, 300, 45, 467?

GCD of given numbers 364, 300, 45, 467 is 1

2. How to calculate the greatest common divisor of 364, 300, 45, 467?

We can find the highest common divisor of 364, 300, 45, 467 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 364, 300, 45, 467 i.e 1.

3. How can I use the GCD of 364, 300, 45, 467Calculator?

Out the numbers 364, 300, 45, 467 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.