GCD of 709, 460, 77, 646 Calculator

Given Input numbers are 709, 460, 77, 646

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

Divisors of 709

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

1, 709

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 709, 460, 77, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 460, 77, 646 is 1.

Therefore, GCD of numbers 709, 460, 77, 646 is 1

Given Input Data is 709, 460, 77, 646

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

Prime Factorization of 709 is 709

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 77 is 7 x 11

Prime Factorization of 646 is 2 x 17 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(709, 460) = 326140

GCD(709, 460) = ( 709 x 460 ) / 326140

GCD(709, 460) = 326140 / 326140

GCD(709, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 646

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

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

GCD(1, 646) = 646 / 646

GCD(1, 646) = 1

GCD of 709, 460, 77, 646 is 1

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1. What is the GCD of 709, 460, 77, 646?

GCD of 709, 460, 77, 646 is 1

2. Where do I get the detailed procedure to find GCD of 709, 460, 77, 646?

You can find a detailed procedure to find GCD of 709, 460, 77, 646 on our page.

3. How to find GCD of 709, 460, 77, 646 on a calculator?

You can find the GCD of 709, 460, 77, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.