GCD of 774, 755, 932, 268 Calculator

Given Input numbers are 774, 755, 932, 268

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 774, 755, 932, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 755, 932, 268 is 1.

Therefore, GCD of numbers 774, 755, 932, 268 is 1

Given Input Data is 774, 755, 932, 268

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 755 is 5 x 151

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 268 is 2 x 2 x 67

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(774, 755) = 584370

GCD(774, 755) = ( 774 x 755 ) / 584370

GCD(774, 755) = 584370 / 584370

GCD(774, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 932

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

LCM(1, 932) = 932

GCD(1, 932) = ( 1 x 932 ) / 932

GCD(1, 932) = 932 / 932

GCD(1, 932) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 774, 755, 932, 268 is 1

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1. What is the GCD of 774, 755, 932, 268?

GCD of 774, 755, 932, 268 is 1

2. Where do I get the detailed procedure to find GCD of 774, 755, 932, 268?

You can find a detailed procedure to find GCD of 774, 755, 932, 268 on our page.

3. How to find GCD of 774, 755, 932, 268 on a calculator?

You can find the GCD of 774, 755, 932, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.