GCD of 327, 900, 462, 350 Calculator

Given Input numbers are 327, 900, 462, 350

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

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (327, 900, 462, 350) = 1.

Given numbers are 327, 900, 462, 350

The list of prime factors of all numbers are

Prime factors of 327 are 3 x 109

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 350 are 2 x 5 x 5 x 7

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

Given numbers are 327, 900, 462, 350

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

Apply this formula for all numbers.

Step1:

LCM(327, 900) = 98100

GCD(327, 900) = ( 327 x 900 ) / 98100

= 327 / 900

= 327

Step2:

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

= 3 / 462

= 3

Step3:

LCM(3, 350) = 1050

GCD(3, 350) = ( 3 x 350 ) / 1050

= 3 / 350

= 3

So, Greatest Common Divisor of 327, 900, 462, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 755, 182, 208
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• GCD of 438, 596, 587, 950

Given numbers are 327, 900, 462, 350
The greatest common divisor of numbers 327, 900, 462, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 900, 462, 350 is 1.

1. What is the GCD of 327, 900, 462, 350?

GCD of given numbers 327, 900, 462, 350 is 1

2. How to calculate the greatest common divisor of 327, 900, 462, 350?

We can find the highest common divisor of 327, 900, 462, 350 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 327, 900, 462, 350 i.e 1.

3. How can I use the GCD of 327, 900, 462, 350Calculator?

Out the numbers 327, 900, 462, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.