GCD of 709, 424, 60, 454 Calculator

Given Input numbers are 709, 424, 60, 454

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 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 709, 424, 60, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 424, 60, 454 is 1.

Therefore, GCD of numbers 709, 424, 60, 454 is 1

Given Input Data is 709, 424, 60, 454

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

Prime Factorization of 709 is 709

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 454 is 2 x 227

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, 424) = 300616

GCD(709, 424) = ( 709 x 424 ) / 300616

GCD(709, 424) = 300616 / 300616

GCD(709, 424) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

GCD of 709, 424, 60, 454 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 502, 96, 609
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• GCD of 811, 610, 98, 918
• GCD of 217, 383, 30, 888
• GCD of 312, 101, 46, 467

1. What is the GCD of 709, 424, 60, 454?

GCD of 709, 424, 60, 454 is 1

2. Where do I get the detailed procedure to find GCD of 709, 424, 60, 454?

You can find a detailed procedure to find GCD of 709, 424, 60, 454 on our page.

3. How to find GCD of 709, 424, 60, 454 on a calculator?

You can find the GCD of 709, 424, 60, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.