GCD of 740, 600, 774, 407 Calculator

Given Input numbers are 740, 600, 774, 407

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 740, 600, 774, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 600, 774, 407 is 1.

Therefore, GCD of numbers 740, 600, 774, 407 is 1

Given Input Data is 740, 600, 774, 407

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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

Prime Factorization of 407 is 11 x 37

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(740, 600) = 22200

GCD(740, 600) = ( 740 x 600 ) / 22200

GCD(740, 600) = 444000 / 22200

GCD(740, 600) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 774

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

LCM(20, 774) = 7740

GCD(20, 774) = ( 20 x 774 ) / 7740

GCD(20, 774) = 15480 / 7740

GCD(20, 774) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 407

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

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

GCD(2, 407) = 814 / 814

GCD(2, 407) = 1

GCD of 740, 600, 774, 407 is 1

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1. What is the GCD of 740, 600, 774, 407?

GCD of 740, 600, 774, 407 is 1

2. Where do I get the detailed procedure to find GCD of 740, 600, 774, 407?

You can find a detailed procedure to find GCD of 740, 600, 774, 407 on our page.

3. How to find GCD of 740, 600, 774, 407 on a calculator?

You can find the GCD of 740, 600, 774, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.