GCD of 741, 885, 644, 153 Calculator

Given Input numbers are 741, 885, 644, 153

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 741, 885, 644, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 885, 644, 153 is 1.

Therefore, GCD of numbers 741, 885, 644, 153 is 1

Given Input Data is 741, 885, 644, 153

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 153 is 3 x 3 x 17

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(741, 885) = 218595

GCD(741, 885) = ( 741 x 885 ) / 218595

GCD(741, 885) = 655785 / 218595

GCD(741, 885) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 644

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

LCM(3, 644) = 1932

GCD(3, 644) = ( 3 x 644 ) / 1932

GCD(3, 644) = 1932 / 1932

GCD(3, 644) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 741, 885, 644, 153 is 1

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1. What is the GCD of 741, 885, 644, 153?

GCD of 741, 885, 644, 153 is 1

2. Where do I get the detailed procedure to find GCD of 741, 885, 644, 153?

You can find a detailed procedure to find GCD of 741, 885, 644, 153 on our page.

3. How to find GCD of 741, 885, 644, 153 on a calculator?

You can find the GCD of 741, 885, 644, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.