GCD of 297, 150, 735, 640 Calculator

Given Input numbers are 297, 150, 735, 640

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 297, 150, 735, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 150, 735, 640 is 1.

Therefore, GCD of numbers 297, 150, 735, 640 is 1

Given Input Data is 297, 150, 735, 640

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 150 is 2 x 3 x 5 x 5

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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(297, 150) = 14850

GCD(297, 150) = ( 297 x 150 ) / 14850

GCD(297, 150) = 44550 / 14850

GCD(297, 150) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 735

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

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

GCD(3, 735) = 2205 / 735

GCD(3, 735) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 640

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

LCM(3, 640) = 1920

GCD(3, 640) = ( 3 x 640 ) / 1920

GCD(3, 640) = 1920 / 1920

GCD(3, 640) = 1

GCD of 297, 150, 735, 640 is 1

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1. What is the GCD of 297, 150, 735, 640?

GCD of 297, 150, 735, 640 is 1

2. Where do I get the detailed procedure to find GCD of 297, 150, 735, 640?

You can find a detailed procedure to find GCD of 297, 150, 735, 640 on our page.

3. How to find GCD of 297, 150, 735, 640 on a calculator?

You can find the GCD of 297, 150, 735, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.