GCD of 408, 223, 960, 757 Calculator

Given Input numbers are 408, 223, 960, 757

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 408, 223, 960, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 223, 960, 757 is 1.

Therefore, GCD of numbers 408, 223, 960, 757 is 1

Given Input Data is 408, 223, 960, 757

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 223 is 223

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 757 is 757

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(408, 223) = 90984

GCD(408, 223) = ( 408 x 223 ) / 90984

GCD(408, 223) = 90984 / 90984

GCD(408, 223) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 408, 223, 960, 757 is 1

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1. What is the GCD of 408, 223, 960, 757?

GCD of 408, 223, 960, 757 is 1

2. Where do I get the detailed procedure to find GCD of 408, 223, 960, 757?

You can find a detailed procedure to find GCD of 408, 223, 960, 757 on our page.

3. How to find GCD of 408, 223, 960, 757 on a calculator?

You can find the GCD of 408, 223, 960, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.