GCD of 774, 632, 19, 758 Calculator

Given Input numbers are 774, 632, 19, 758

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 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 774, 632, 19, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 632, 19, 758 is 1.

Therefore, GCD of numbers 774, 632, 19, 758 is 1

Given Input Data is 774, 632, 19, 758

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 632 is 2 x 2 x 2 x 79

Prime Factorization of 19 is 19

Prime Factorization of 758 is 2 x 379

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, 632) = 244584

GCD(774, 632) = ( 774 x 632 ) / 244584

GCD(774, 632) = 489168 / 244584

GCD(774, 632) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 774, 632, 19, 758 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 858, 40, 123
• GCD of 350, 525, 57, 250
• GCD of 627, 828, 46, 802
• GCD of 310, 899, 28, 255
• GCD of 568, 549, 43, 639

1. What is the GCD of 774, 632, 19, 758?

GCD of 774, 632, 19, 758 is 1

2. Where do I get the detailed procedure to find GCD of 774, 632, 19, 758?

You can find a detailed procedure to find GCD of 774, 632, 19, 758 on our page.

3. How to find GCD of 774, 632, 19, 758 on a calculator?

You can find the GCD of 774, 632, 19, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.