GCD of 874, 736, 867, 709 Calculator

Given Input numbers are 874, 736, 867, 709

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 874, 736, 867, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 736, 867, 709 is 1.

Therefore, GCD of numbers 874, 736, 867, 709 is 1

Given Input Data is 874, 736, 867, 709

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 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 709 is 709

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, 736) = 13984

GCD(874, 736) = ( 874 x 736 ) / 13984

GCD(874, 736) = 643264 / 13984

GCD(874, 736) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 867

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

LCM(46, 867) = 39882

GCD(46, 867) = ( 46 x 867 ) / 39882

GCD(46, 867) = 39882 / 39882

GCD(46, 867) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 874, 736, 867, 709 is 1

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1. What is the GCD of 874, 736, 867, 709?

GCD of 874, 736, 867, 709 is 1

2. Where do I get the detailed procedure to find GCD of 874, 736, 867, 709?

You can find a detailed procedure to find GCD of 874, 736, 867, 709 on our page.

3. How to find GCD of 874, 736, 867, 709 on a calculator?

You can find the GCD of 874, 736, 867, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.