GCD of 74, 701, 204, 364 Calculator

Given Input numbers are 74, 701, 204, 364

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 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 74, 701, 204, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 701, 204, 364 is 1.

Therefore, GCD of numbers 74, 701, 204, 364 is 1

Given Input Data is 74, 701, 204, 364

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 701 is 701

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 364 is 2 x 2 x 7 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, 701) = 51874

GCD(74, 701) = ( 74 x 701 ) / 51874

GCD(74, 701) = 51874 / 51874

GCD(74, 701) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 74, 701, 204, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 464, 617, 994
• GCD of 95, 990, 268, 464
• GCD of 64, 346, 636, 498
• GCD of 80, 239, 109, 704
• GCD of 29, 199, 137, 157

1. What is the GCD of 74, 701, 204, 364?

GCD of 74, 701, 204, 364 is 1

2. Where do I get the detailed procedure to find GCD of 74, 701, 204, 364?

You can find a detailed procedure to find GCD of 74, 701, 204, 364 on our page.

3. How to find GCD of 74, 701, 204, 364 on a calculator?

You can find the GCD of 74, 701, 204, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.