GCD of 376, 735, 90, 324 Calculator

Given Input numbers are 376, 735, 90, 324

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 376, 735, 90, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 735, 90, 324 is 1.

Therefore, GCD of numbers 376, 735, 90, 324 is 1

Given Input Data is 376, 735, 90, 324

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(376, 735) = 276360

GCD(376, 735) = ( 376 x 735 ) / 276360

GCD(376, 735) = 276360 / 276360

GCD(376, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 376, 735, 90, 324 is 1

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1. What is the GCD of 376, 735, 90, 324?

GCD of 376, 735, 90, 324 is 1

2. Where do I get the detailed procedure to find GCD of 376, 735, 90, 324?

You can find a detailed procedure to find GCD of 376, 735, 90, 324 on our page.

3. How to find GCD of 376, 735, 90, 324 on a calculator?

You can find the GCD of 376, 735, 90, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.