GCD of 879, 690, 75, 722 Calculator

Given Input numbers are 879, 690, 75, 722

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

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 879, 690, 75, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 690, 75, 722 is 1.

Therefore, GCD of numbers 879, 690, 75, 722 is 1

Given Input Data is 879, 690, 75, 722

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

Prime Factorization of 879 is 3 x 293

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 722 is 2 x 19 x 19

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(879, 690) = 202170

GCD(879, 690) = ( 879 x 690 ) / 202170

GCD(879, 690) = 606510 / 202170

GCD(879, 690) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 75

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

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

GCD(3, 75) = 225 / 75

GCD(3, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 722

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

LCM(3, 722) = 2166

GCD(3, 722) = ( 3 x 722 ) / 2166

GCD(3, 722) = 2166 / 2166

GCD(3, 722) = 1

GCD of 879, 690, 75, 722 is 1

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1. What is the GCD of 879, 690, 75, 722?

GCD of 879, 690, 75, 722 is 1

2. Where do I get the detailed procedure to find GCD of 879, 690, 75, 722?

You can find a detailed procedure to find GCD of 879, 690, 75, 722 on our page.

3. How to find GCD of 879, 690, 75, 722 on a calculator?

You can find the GCD of 879, 690, 75, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.