GCD of 74, 602, 305, 702 Calculator

Given Input numbers are 74, 602, 305, 702

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 74, 602, 305, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 602, 305, 702 is 1.

Therefore, GCD of numbers 74, 602, 305, 702 is 1

Given Input Data is 74, 602, 305, 702

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 305 is 5 x 61

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(74, 602) = 22274

GCD(74, 602) = ( 74 x 602 ) / 22274

GCD(74, 602) = 44548 / 22274

GCD(74, 602) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 305

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

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

GCD(2, 305) = 610 / 610

GCD(2, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 74, 602, 305, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 575, 709, 688
• GCD of 81, 918, 642, 243
• GCD of 72, 379, 278, 940
• GCD of 63, 814, 699, 129
• GCD of 82, 260, 527, 302

1. What is the GCD of 74, 602, 305, 702?

GCD of 74, 602, 305, 702 is 1

2. Where do I get the detailed procedure to find GCD of 74, 602, 305, 702?

You can find a detailed procedure to find GCD of 74, 602, 305, 702 on our page.

3. How to find GCD of 74, 602, 305, 702 on a calculator?

You can find the GCD of 74, 602, 305, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.