GCD of 774, 938, 889, 478 Calculator

Given Input numbers are 774, 938, 889, 478

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 774, 938, 889, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 938, 889, 478 is 1.

Therefore, GCD of numbers 774, 938, 889, 478 is 1

Given Input Data is 774, 938, 889, 478

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 938 is 2 x 7 x 67

Prime Factorization of 889 is 7 x 127

Prime Factorization of 478 is 2 x 239

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, 938) = 363006

GCD(774, 938) = ( 774 x 938 ) / 363006

GCD(774, 938) = 726012 / 363006

GCD(774, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 889

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

LCM(2, 889) = 1778

GCD(2, 889) = ( 2 x 889 ) / 1778

GCD(2, 889) = 1778 / 1778

GCD(2, 889) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 774, 938, 889, 478 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 764, 922, 471
• GCD of 477, 927, 781, 976
• GCD of 325, 208, 308, 198
• GCD of 643, 909, 884, 133
• GCD of 190, 727, 516, 723

1. What is the GCD of 774, 938, 889, 478?

GCD of 774, 938, 889, 478 is 1

2. Where do I get the detailed procedure to find GCD of 774, 938, 889, 478?

You can find a detailed procedure to find GCD of 774, 938, 889, 478 on our page.

3. How to find GCD of 774, 938, 889, 478 on a calculator?

You can find the GCD of 774, 938, 889, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.