GCD of 774, 426, 10, 953 Calculator

Given Input numbers are 774, 426, 10, 953

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 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 774, 426, 10, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 426, 10, 953 is 1.

Therefore, GCD of numbers 774, 426, 10, 953 is 1

Given Input Data is 774, 426, 10, 953

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 426 is 2 x 3 x 71

Prime Factorization of 10 is 2 x 5

Prime Factorization of 953 is 953

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, 426) = 54954

GCD(774, 426) = ( 774 x 426 ) / 54954

GCD(774, 426) = 329724 / 54954

GCD(774, 426) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 10

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

LCM(6, 10) = 30

GCD(6, 10) = ( 6 x 10 ) / 30

GCD(6, 10) = 60 / 30

GCD(6, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 953

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

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

GCD(2, 953) = 1906 / 1906

GCD(2, 953) = 1

GCD of 774, 426, 10, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 204, 77, 819
• GCD of 988, 538, 85, 847
• GCD of 774, 301, 18, 795
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• GCD of 396, 468, 84, 470

1. What is the GCD of 774, 426, 10, 953?

GCD of 774, 426, 10, 953 is 1

2. Where do I get the detailed procedure to find GCD of 774, 426, 10, 953?

You can find a detailed procedure to find GCD of 774, 426, 10, 953 on our page.

3. How to find GCD of 774, 426, 10, 953 on a calculator?

You can find the GCD of 774, 426, 10, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.