GCD of 689, 584, 711, 761 Calculator

Given Input numbers are 689, 584, 711, 761

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 689, 584, 711, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 584, 711, 761 is 1.

Therefore, GCD of numbers 689, 584, 711, 761 is 1

Given Input Data is 689, 584, 711, 761

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 761 is 761

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(689, 584) = 402376

GCD(689, 584) = ( 689 x 584 ) / 402376

GCD(689, 584) = 402376 / 402376

GCD(689, 584) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 711

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

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

GCD(1, 711) = 711 / 711

GCD(1, 711) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

GCD of 689, 584, 711, 761 is 1

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1. What is the GCD of 689, 584, 711, 761?

GCD of 689, 584, 711, 761 is 1

2. Where do I get the detailed procedure to find GCD of 689, 584, 711, 761?

You can find a detailed procedure to find GCD of 689, 584, 711, 761 on our page.

3. How to find GCD of 689, 584, 711, 761 on a calculator?

You can find the GCD of 689, 584, 711, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.