GCD of 69, 609, 760, 712 Calculator

Given Input numbers are 69, 609, 760, 712

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 69, 609, 760, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 609, 760, 712 is 1.

Therefore, GCD of numbers 69, 609, 760, 712 is 1

Given Input Data is 69, 609, 760, 712

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 712 is 2 x 2 x 2 x 89

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(69, 609) = 14007

GCD(69, 609) = ( 69 x 609 ) / 14007

GCD(69, 609) = 42021 / 14007

GCD(69, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 760

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

LCM(3, 760) = 2280

GCD(3, 760) = ( 3 x 760 ) / 2280

GCD(3, 760) = 2280 / 2280

GCD(3, 760) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 69, 609, 760, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 471, 544, 644
• GCD of 31, 123, 241, 388
• GCD of 91, 103, 191, 104
• GCD of 53, 239, 466, 450
• GCD of 55, 955, 154, 210

1. What is the GCD of 69, 609, 760, 712?

GCD of 69, 609, 760, 712 is 1

2. Where do I get the detailed procedure to find GCD of 69, 609, 760, 712?

You can find a detailed procedure to find GCD of 69, 609, 760, 712 on our page.

3. How to find GCD of 69, 609, 760, 712 on a calculator?

You can find the GCD of 69, 609, 760, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.