GCD of 874, 706, 628, 691 Calculator

Given Input numbers are 874, 706, 628, 691

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 874, 706, 628, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 706, 628, 691 is 1.

Therefore, GCD of numbers 874, 706, 628, 691 is 1

Given Input Data is 874, 706, 628, 691

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 706 is 2 x 353

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 691 is 691

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(874, 706) = 308522

GCD(874, 706) = ( 874 x 706 ) / 308522

GCD(874, 706) = 617044 / 308522

GCD(874, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 691

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

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

GCD(2, 691) = 1382 / 1382

GCD(2, 691) = 1

GCD of 874, 706, 628, 691 is 1

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1. What is the GCD of 874, 706, 628, 691?

GCD of 874, 706, 628, 691 is 1

2. Where do I get the detailed procedure to find GCD of 874, 706, 628, 691?

You can find a detailed procedure to find GCD of 874, 706, 628, 691 on our page.

3. How to find GCD of 874, 706, 628, 691 on a calculator?

You can find the GCD of 874, 706, 628, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.