GCD of 760, 123, 693, 256 Calculator

Given Input numbers are 760, 123, 693, 256

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Greatest Common Divisior

We found the divisors of 760, 123, 693, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 123, 693, 256 is 1.

Therefore, GCD of numbers 760, 123, 693, 256 is 1

Given Input Data is 760, 123, 693, 256

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 123 is 3 x 41

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(760, 123) = 93480

GCD(760, 123) = ( 760 x 123 ) / 93480

GCD(760, 123) = 93480 / 93480

GCD(760, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

GCD of 760, 123, 693, 256 is 1

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1. What is the GCD of 760, 123, 693, 256?

GCD of 760, 123, 693, 256 is 1

2. Where do I get the detailed procedure to find GCD of 760, 123, 693, 256?

You can find a detailed procedure to find GCD of 760, 123, 693, 256 on our page.

3. How to find GCD of 760, 123, 693, 256 on a calculator?

You can find the GCD of 760, 123, 693, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.