GCD of 754, 826, 73, 199 Calculator

Given Input numbers are 754, 826, 73, 199

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 754, 826, 73, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 826, 73, 199 is 1.

Therefore, GCD of numbers 754, 826, 73, 199 is 1

Given Input Data is 754, 826, 73, 199

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 73 is 73

Prime Factorization of 199 is 199

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(754, 826) = 311402

GCD(754, 826) = ( 754 x 826 ) / 311402

GCD(754, 826) = 622804 / 311402

GCD(754, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 754, 826, 73, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 971, 65, 204
• GCD of 518, 397, 22, 535
• GCD of 748, 633, 85, 141
• GCD of 852, 727, 45, 138
• GCD of 379, 557, 31, 453

1. What is the GCD of 754, 826, 73, 199?

GCD of 754, 826, 73, 199 is 1

2. Where do I get the detailed procedure to find GCD of 754, 826, 73, 199?

You can find a detailed procedure to find GCD of 754, 826, 73, 199 on our page.

3. How to find GCD of 754, 826, 73, 199 on a calculator?

You can find the GCD of 754, 826, 73, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.